Question

Solve the quadratic equation for x. What is one of the roots?

2x2 + 9x − 5 = 0
A) −
1
2
B) −
1
5
C)
1
2
D)
1
5

Answer 1

Answer:

x₁ = 0,5

x₂ = - 5

Step-by-step explanation:

2x² + 9x - 5 = 0

2x² + 10x - x - 5 = 0

2x(x + 5) - (x + 5) = 0

(2x - 1)(x + 5) = 0

2x - 1 = 0 ⇒ 2x = 1 ⇒ x₁ = 1/2 ⇒ x₁ = 0,5

x + 5 = 0 => x₂ = - 5