Question

Select the two values of x that are roots of this equation. 2x^2-11x+15=0

Answer 1

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▹ Answer

x₁ = 5/2

x₂ = 3

▹ Step-by-Step Explanation

2x² - 11x + 15 = 0

2x² - 5x - 6x + 15 = 0

x(2x - 5) - 6x + 15 = 0

x(2x - 5) - 3(2x - 5) = 0

(2x - 5) * (x - 3) = 0

2x - 5 = 0

x - 3 = 0

x₁ = 5/2

x - 3 = 0 → x₂ = 3

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Answer 2

Hey there! :)

Answer:

x = 5/2 and 3.

Step-by-step explanation:

Factor the equation. Find numbers that will sum up to -11 involving the coefficient of 2, and that multiply into 15.

2x² - 11x + 15 = 0

(2x - 5)(x - 3) = 0

Use the Zero Product Property to solve for the roots of this equation:

2x - 5 = 0

2x = 5

x = 5/2

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x - 3 = 0

x = 3.

Therefore, the two values of x that are roots of this equation are:

x = 5/2 and 3.