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3 years ago

What is the solution to the equation square root x2 + 2x - 25 = square root x + 5

Mathematics

1 answer:

Arturiano [62]3 years ago

7 0

Solutions to the equation are 5, -6

Step-by-step explanation:

Step 1: Equation is √(x² + 2x - 25) = √(x + 5). Square both sides to simplify the equation

⇒ x² + 2x - 25 = x + 5

⇒ x² + x - 30 = 0

⇒ x² + 6x - 5x - 30 = 0

⇒ x(x + 6) - 5(x + 6) = 0

⇒ (x - 5)(x + 6) = 0

⇒ x = 5, -6

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irina1246 [14]

Answer:

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Step-by-step explanation:

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