Answered

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Find the solutions to 2x² - 10x+12= 0.Check all that apply, as there can be more than one awnserA. 2B. 3C. 12D. 4

Sagot :

The given equation is expressed as

2x^2 - 10x + 12 = 0

Dividing each term by 2, it becomes

x^2 - 5x + 6 = 0

This is a quadratic equation. We would solve by applying the method of factorization. The first step is to multiply x^2 with 6. It becomes 6x^2. We would find two terms such that their sum or difference is - 5x and their product is 6x^2. The terms are - 3x and - 2x. By replacing - 5x with - 2x - 3x, we have

x^2 - 2x - 3x + 6 = 0

Factorize by grouping. It becomes

x(x - 2) - 3(x - 2) = 0

(x - 2)(x - 3) = 0

x - 2 = 0 or x - 3 = 0

x = 2 or x = 3

The solutions are

A. 2

B. 3

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