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What is the solution to the equation? ^3 square root x- 1 = -4

What Is The Solution To The Equation 3 Square Root X 1 4 class=

Sagot :

mathstudent55

Answer:

x = -63

Step-by-step explanation:

[tex] \sqrt[3]{x - 1} = -4 [/tex]

Cube both sides.

[tex] (\sqrt[3]{x - 1})^3 = (-4)^3 [/tex]

[tex] x - 1 = -64 [/tex]

[tex] x = -63 [/tex]

Check:

[tex] \sqrt[3]{x - 1} = -4 [/tex]

[tex] \sqrt[3]{-63 - 1} = -4 [/tex]

[tex] \sqrt[3]{-64} = -4 [/tex]

[tex] -4 = -4 [/tex]

Answer, x = -63, is correct.

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