Math Solver Calculator

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Math Solver Calculator
Quadratic Equation (ax² + bx + c = 0)Linear Equation (y = mx + b)Pythagorean Theorem (a² + b² = c²)
Solution:
Enter values and click Solve to see the result.
function updateInputs(){var type=document.getElementById('calc_type').value;var r3=document.getElementById('row3');var l1=document.getElementById('label1');var l2=document.getElementById('label2');var l3=document.getElementById('label3′);if(type==='quadratic'){l1.innerHTML='Coefficient a:';l2.innerHTML='Coefficient b:';l3.innerHTML='Constant c:';r3.style.display='table-row';}else if(type==='linear'){l1.innerHTML='Slope (m):';l2.innerHTML='Variable (x):';l3.innerHTML='Y-Intercept (b):';r3.style.display='table-row';}else if(type==='pythagorean'){l1.innerHTML='Side A:';l2.innerHTML='Side B:';r3.style.display='none';}}function calculateMath(){var type=document.getElementById('calc_type').value;var v1=parseFloat(document.getElementById('input1').value);var v2=parseFloat(document.getElementById('input2').value);var v3=parseFloat(document.getElementById('input3').value);var showSteps=document.getElementById('showSteps').checked;var ansDiv=document.getElementById('answer');if(isNaN(v1)||isNaN(v2)){ansDiv.innerHTML="Please enter valid numbers.";return;}var resultText="";if(type==='quadratic'){if(isNaN(v3)){ansDiv.innerHTML="Please enter constant c.";return;}var disc=(v2*v2)-(4*v1*v3);if(disc>0){var r1=(-v2+Math.sqrt(disc))/(2*v1);var r2=(-v2-Math.sqrt(disc))/(2*v1);resultText="Two real roots: x1 = "+r1.toFixed(4)+", x2 = "+r2.toFixed(4);if(showSteps)resultText+="
Steps: Discriminant = b²-4ac = "+disc+". Roots found via (-b ± √D)/2a.";}else if(disc===0){var r=-v2/(2*v1);resultText="One real root: x = "+r.toFixed(4);if(showSteps)resultText+="
Steps: Discriminant is 0, implying a single repeated root.";}else{resultText="Complex roots exist (no real solutions).";}}else if(type==='linear'){if(isNaN(v3)){ansDiv.innerHTML="Please enter intercept b.";return;}var y=(v1*v2)+v3;resultText="Result: y = "+y.toFixed(4);if(showSteps)resultText+="
Steps: y = ("+v1+" * "+v2+") + "+v3+" = "+y+"";}else if(type==='pythagorean'){var c=Math.sqrt((v1*v1)+(v2*v2));resultText="Hypotenuse (c) = "+c.toFixed(4);if(showSteps)resultText+="
Steps: c = √(a² + b²) = √("+v1+"² + "+v2+"²) = √"+((v1*v1)+(v2*v2))+"";}ansDiv.innerHTML=resultText;}function resetCalc(){document.getElementById('answer').innerHTML="Enter values and click Solve to see the result.";}

Calculator Use

The math solver calculator is an essential tool for students, engineers, and educators. It is designed to handle various mathematical problems ranging from basic algebra to geometric calculations. By automating complex formulas, this calculator ensures accuracy and saves significant time during study or professional work.

To use this tool, simply select the type of problem you are trying to solve from the dropdown menu. The input fields will dynamically update to reflect the necessary variables for that specific equation.

Quadratic Equations
Solves for x in the form ax² + bx + c = 0. It calculates the discriminant and provides the roots.
Linear Equations
Determines the value of y based on the slope-intercept form (y = mx + b).
Pythagorean Theorem
Calculates the hypotenuse of a right-angled triangle given the lengths of the two legs.

How It Works

When you utilize the math solver calculator, it applies standard mathematical axioms and formulas. Understanding the underlying logic helps in verifying the results manually if needed. Here are the core formulas used:

Quadratic Formula: x = [-b ± sqrt(b² – 4ac)] / 2a

  • Discriminant (D): If D > 0, there are two real roots. If D = 0, there is one root. If D < 0, roots are imaginary.
  • Slope (m): The rate of change in a linear equation.
  • Hypotenuse (c): The longest side of a right triangle, opposite the right angle.

Calculation Example

Example: Solving a Quadratic Equation where a = 1, b = -5, and c = 6.

Step-by-step solution:

  1. Identify coefficients: a = 1, b = -5, c = 6.
  2. Calculate the discriminant: (-5)² – 4(1)(6) = 25 – 24 = 1.
  3. Since the discriminant is positive, calculate roots: x = [5 ± sqrt(1)] / 2.
  4. Root 1: (5 + 1) / 2 = 3.
  5. Root 2: (5 – 1) / 2 = 2.
  6. Result: x = 3, x = 2.

Common Questions

What is a math solver calculator?

It is a digital tool designed to compute solutions for mathematical expressions and equations based on user-provided variables and selected formulas.

Can it handle imaginary numbers?

Currently, this specific version of the math solver calculator identifies when roots are complex/imaginary but focuses on providing real-number solutions for practical geometry and basic algebra.

Why is the discriminant important?

In quadratic equations, the discriminant (b² – 4ac) determines the nature and number of solutions, telling you before solving if the roots will be real or complex.

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