Question

Three common methods of solving quadratic equations are graphing, factoring and using the

quadratic formula. Choose 2 methods to solve the equation below.
I
If you choose factoring or the quadratic formula, you must SHOW ALL WORK.
If you choose graphing you must SKETCH the graph and label the solutions on the graph.
2x²+x-15 = 0

Answer 1

The value of x from the quadratic formula is x = 1.75 or -3.75

What is a quadratic equation?

If the discriminant is positive, there are two distinct real solutions. If it's zero, there is one real solution (a repeated root). If the discriminant is negative, there are two complex conjugate solutions.

The equation that we have is; 2x²+x-15 = 0

If a = 2 b= 1 c = -15

x = -b ±√
`b^2`- 4ac/2a

x = -1 ±√
`(1)^2` - 4 (2) (-15)/2(2)

x = -1 ±√121/4

x = -1 ± 11/4

x = 1.75 or -3.75

Hence the solutions that we seek are x = 1.75 or -3.75.