3xsquare-9x-30=0 What’s the answer

Mathematics

1 answer:

BartSMP [9]3 years ago

6 0

Answer:

x = - 2 or x = 5

Step-by-step explanation:

Given

3x² - 9x - 30 = 0 ← in standard form

Divide all terms by 3

x² - 3x - 10 = 0

To factor the quadratic

Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (- 3)

The factors are - 5 and + 2, since

- 5 × 2 = - 10 and - 5 + 2 = - 3, thus

x² - 3x - 10 = 0

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

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 2 = 0 ⇒ x = - 2

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