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

Question

Mathematics

Patricky

14 May, 21:23

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

+1

Answers (1)

Know the Answer?

Elliana Montes · Answer 1

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

Solve the quadratic equation for x. What is one of the roots?2x2 + 9x - 5 = 0A) -12B) -15C)12D)15

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