Question

Match the equation with the correct set up in the quadratic formula 5x²+3x-1=0→____x²-3x-5=0→____

Answer 1

The general form o a quadratic equation is expressed as

ax^2 + bx + c = 0

By comparing the given equations with the general form equation,

For 5x^2 + 3x - 1 = 0

a = 5

b = 3

c = - 1

For x^2 - 3x - 5 = 0

a = 1

b = - 3

c = - 5

The quadratic formula is expressed as

`\begin{gathered} x\text{ = }\frac{-\text{ b }\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{For 5x}^2+3x\text{ - 1, the set up would be} \\ x\text{ = }\frac{-\text{ 3}\pm\sqrt[]{3^2-4(5*-1)}}{2*5} \\ \\ x\text{ = }\frac{-\text{ 3 }\pm\sqrt[]{9\text{ + 20}}}{\text{ 10}} \\ \text{For x}^2-3x\text{ - 5, the set up would be} \\ x\text{ = }\frac{-\text{ - 3}\pm\sqrt[]{-3^2-4(1*-5)}}{2*1} \\ x\text{ = }\frac{3\text{ }\pm\sqrt[]{9\text{ + 20}}}{2} \end{gathered}`