5x^2-22x+8=0
can you find the roots?

x = , x = 4

Step-by-step explanation:

Given

5x² - 22x + 8 = 0

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

product = 5 × 8 = + 40 and sum = - 22

The factors are - 20 and - 2

Use these factors to split the x- term

5x² - 20x - 2x + 8 = 0 ( factor the first/second and third/fourth terms )

5x(x - 4) - 2(x - 4) = 0 ← factor out (x - 4) from each term

(x - 4)(5x - 2) = 0

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

5x - 2 = 0 ⇒ 5x = 2 ⇒ x =

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