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2 years ago

What are the solutions to the equation?

Mathematics

1 answer:

nalin [4]2 years ago

7 0

Solutions are 3 and - 5.

Step-by-step explanation:

Step 1:

Given equation is 3x² + 6x = 45. Factorize the equation to get the solutions.

⇒ 3x² + 6x - 45 = 0

⇒ x² + 2x - 15 = 0

⇒ x² + 5x - 3x - 15 = 0 (Product and Sum Method where product of coefficients = - 15 and sum = 2)

⇒ x (x + 5) - 3(x + 5) = 0

⇒ (x - 3)(x + 5) = 0

⇒ x = 3, - 5

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Step-by-step explanation:

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Graph of this inequality as shown below in the figure.

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