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Solve for $x$ : $7-x^2 = 6$

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Powers with negative bases

Full solution

Q. Solve for

x

:

7-x^2 = 6

Isolate $x^2$ : Simplify the equation by isolating $x^2$ . $7 - x^2 = 6$ Subtract $7$ from both sides: $- x^2 = 6 - 7$ $- x^2 = -1$
Solve for $x^2$ : Solve for $x^2$ . $\newline$ Multiply both sides by $-1$ to get: $\newline$ $x^2 = 1$
Find x value: Find the value of x. $\newline$ Take the square root of both sides: $\newline$ $x = \pm\sqrt{1}$ $\newline$ $x = \pm1$

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