Mathway Calculator

by
mathway calculator
Quadratic Equation (ax² + bx + c = 0)Percentage Change (Start to End)Simple Interest (P × R × T)
Solution:

Enter values and click calculate

function updateLabels(){var type=document.getElementById('given_data').value;var l1=document.getElementById('lbl1');var l2=document.getElementById('lbl2');var l3=document.getElementById('lbl3′);if(type=='quadratic'){l1.innerHTML='Value a:';l2.innerHTML='Value b:';l3.innerHTML='Value c:';}else if(type=='percentage'){l1.innerHTML='Starting Value:';l2.innerHTML='Final Value:';l3.innerHTML='Ignore This:';}else{l1.innerHTML='Principal ($):';l2.innerHTML='Annual Rate (%):';l3.innerHTML='Time (Years):';}}function calculateResult(){var v1=parseFloat(document.getElementById('input1').value);var v2=parseFloat(document.getElementById('input2').value);var v3=parseFloat(document.getElementById('input3').value);var type=document.getElementById('given_data').value;var res="";var steps="";if(isNaN(v1)||isNaN(v2)){alert('Please enter valid numbers');return;}if(type=='quadratic'){if(isNaN(v3)){alert('Please enter Value C');return;}var disc=(v2*v2)-(4*v1*v3);if(disc<0){res="No Real Roots";steps="Discriminant (b² – 4ac) is negative ("+disc+").";}else{var x1=(-v2+Math.sqrt(disc))/(2*v1);var x2=(-v2-Math.sqrt(disc))/(2*v1);res="x₁ = "+x1.toFixed(4)+", x₂ = "+x2.toFixed(4);steps="Using Quadratic Formula: x = [-b ± √(b² – 4ac)] / 2a";}}else if(type=='percentage'){var diff=v2-v1;var pct=(diff/Math.abs(v1))*100;res=pct.toFixed(2)+"%";steps="Calculation: (("+v2+" – "+v1+") / |"+v1+"| ) × 100"; if(v1==0)res="Undefined (Div by Zero)";}else{if(isNaN(v3)){alert('Please enter Time');return;}var interest=(v1*(v2/100)*v3);res="Interest = $"+interest.toFixed(2);var total=v1+interest;steps="Formula: I = P × r × t
I = "+v1+" × "+(v2/100)+" × "+v3+"
Total Balance: $"+total.toFixed(2);}document.getElementById('resultValue').innerHTML=res;if(document.getElementById('steps').checked){document.getElementById('stepDetails').innerHTML=steps;document.getElementById('stepDetails').style.display='block';}else{document.getElementById('stepDetails').style.display='none';}}

Calculator Use

This mathway calculator is designed to provide instant, accurate solutions for complex mathematical problems across algebra, finance, and general arithmetic. Whether you are solving for unknown variables in a quadratic equation or calculating the growth of an investment, this tool breaks down the logic into manageable steps.

To use the calculator, simply select your desired topic from the dropdown menu and input the required variables. Our engine follows the same logic as the famous mathway calculator to ensure students and professionals alike get reliable answers.

Quadratic Solver
Solves equations in the form ax² + bx + c = 0 using the quadratic formula.
Percentage Change
Determines the increase or decrease between two values as a percentage.
Simple Interest
Calculates the interest earned or paid over time based on a principal amount and a specific rate.

How It Works

Mathematics relies on standardized formulas to reach objective truths. The mathway calculator utilizes several key theorems depending on your selection:

The Quadratic Formula

x = [-b ± √(b² – 4ac)] / 2a

This formula identifies the roots of a parabola. The "discriminant" (b² – 4ac) determines if the roots are real or imaginary. If the discriminant is positive, there are two real roots; if zero, one real root; if negative, no real roots exist.

Simple Interest Formula

I = P × r × t

  • P: Principal (the initial amount of money)
  • r: Annual interest rate (decimal form)
  • t: Time in years

Calculation Example

Scenario: You want to find the simple interest on a loan of $5,000 at an interest rate of 5% over 3 years.

Step-by-step solution:

  1. Identify Variables: P = 5000, r = 0.05, t = 3
  2. Apply Formula: 5000 × 0.05 × 3
  3. Calculate Step 1: 5000 × 0.05 = 250
  4. Calculate Step 2: 250 × 3 = 750
  5. Final Result: $750.00 in interest.

Common Questions

Can this mathway calculator solve calculus?

While this specific version focuses on Algebra, Geometry, and Finance, advanced versions of mathway-style tools can handle derivatives, integrals, and limits by utilizing symbolic computation engines.

Why is my quadratic result "No Real Roots"?

This occurs when the discriminant (the part under the square root) is negative. In geometry, this means the parabola never crosses the x-axis.

Is percentage change different from percentage difference?

Yes. Percentage change uses one value as a specific starting point (benchmark), while percentage difference usually compares two values relative to their average.

Leave a Comment