Solve 2×2 – 11x + 5 = 0. (1/2,5) (5/2,1) {} Question Solve 2×2 – 11x + 5 = 0.(1/2,5)(5/2,1){} in progress 0 Math Caroline 7 days 2021-10-07T01:49:19+00:00 2021-10-07T01:49:19+00:00 1 Answer 0

## Answers ( )

Answer:x = , x = 5

Step-by-step explanation:Given

2x² – 11x + 5 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × 5 = 10 and sum = – 11

The factors are – 1 and – 10

Use these factors to split the x- term

2x² – x – 10x + 5 = 0 ( factor the first/second and third/fourth terms )

x(2x – 1) – 5(2x – 1) = 0 ← factor out (2x – 1) from each term

(2x – 1)(x – 5) = 0

Equate each factor to zero and solve for x

2x – 1 = 0 ⇒ 2x = 1 ⇒ x =

x – 5 = 0 ⇒ x = 5