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
[tex]\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\times-1)}}{2\times5} \\ \\ 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\times-5)}}{2\times1} \\ x\text{ = }\frac{3\text{ }\pm\sqrt[]{9\text{ + 20}}}{2} \end{gathered}[/tex]
