What is the solution to the equation √x^2+2x-25=√x+5 x = - 6 x = 5 x = 6, x = - 5 x = - 6, x = 5

Question

Mathematics

Quinn

14 February, 20:25

What is the solution to the equation √x^2+2x-25=√x+5 x = - 6 x = 5 x = 6, x = - 5 x = - 6, x = 5

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Answers (1)

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Leilani Olsen · Answer 1

x = 5, - 6

Step-by-step explanation:

Step 1: Write out equation

x² + 2x - 25 = x + 5

Step 2: Move everything to one side

x² + x - 30 = 0

Step 3: Factor

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

Step 4: Find roots

x - 5 = 0

x = 5

x + 6 = 0

x = - 6