What is the solution of the equation?

StartRoot x plus 10 EndRoot minus 9 equals negative 7
(1 point)
Responses

–6
–6

4
4

14
14

–8

3 answers

The solution of the equation is -6.

The equation rewritten in standard form is:
√(x + 10) - 9 = -7

Add 9 to both sides:
√(x + 10) = 2

Square both sides:
x + 10 = 4
x = -6

Therefore, x = -6 is the solution to the equation.
What is the solution of the equation?

4 left parenthesis 3 minus x right parenthesis Superscript StartFraction 4 over 3 EndFraction baseline minus 5 equals 59
(1 point)
Responses

–5, 11
–5, 11

5
5

11
11

–11
To solve the equation:

4(3 - x)^(4/3) - 5 = 59

First, add 5 to both sides:

4(3 - x)^(4/3) = 64

Divide by 4:

(3 - x)^(4/3) = 16

Raise both sides to the power of 3/4:

3 - x = 16^(3/4)
3 - x = 8

Now, subtract 3 from both sides:

-x = 5

Divide by -1 to solve for x:

x = -5

Therefore, x = -5 is the solution to the equation.
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