\sqrt{x} +12=x? \\ what is the solution -3 4 -3 and 4 no solution

x = 4

Step-by-step explanation:

given

= x ( square both sides )

()² = x²

x + 12 = x² ( subtract x + 12 from both sides )

x² - x - 12 = 0 ← in standard form

(x - 4)(x + 3) = 0

equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 3 = 0 ⇒ x = - 3

As a check

substitute these values into the equation and if the left side equals the right side then they are the solutions

x = 4 : = = 4 = right side

x = - 3 : = = 3 ≠ - 3

The only valid solution is x = 4

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step-by-step explanation:

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