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Find the zeros of: x²-7x+10=0 That is ex-squared minus seven-ex plus ten.

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Answer:

x = 2, x = 5

Explanation:

given the quadratic equation

x² - 7x + 10 = 0

consider the factors of the constant term (+ 10) which sum to give the coefficient of the x- term (- 7 )

the factors are - 2 and - 5 , since

- 2 × - 5 = + 10 and - 2 - 5 = - 7

use these factors to split the x- term

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

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

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

equate each factor to zero and solve for x

x - 2 = 0 ( add 2 to both sides )

x = 2

x - 5 = 0 ( add 5 to both sides )

x = 5

the zeros are x = 2 and x = 5

User Ekaterina Tokareva
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