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Maths-

General

Easy

Question

Suppose that Y= 3 and Z= 16. Solve for the unknown value in the equation $Y equals cube root of 2 x plus z end root minus 12$ Round to the nearest tenth if necessary.

hint Hint:

Substitute the given values and then find.

The correct answer is: x = 1679.5

Complete step by step solution:
Given formula = $Y equals cube root of 2 x plus z end root minus 12$
Given values are Y= 3 and Z= 16.
On substituting the values in the given formula, we get $3 equals cube root of 2 x plus 16 end root minus 12$
$not stretchy rightwards double arrow 3 equals left parenthesis 2 x plus 16 right parenthesis to the power of 1 third end exponent minus 12$
$not stretchy rightwards double arrow 15 equals left parenthesis 2 x plus 16 right parenthesis to the power of 1 third end exponent$
To make the power of the equation as 1, we have to raise the equation by 3
$not stretchy rightwards double arrow 15 cubed equals 2 x plus 16$
$not stretchy rightwards double arrow 3375 equals 2 x plus 16$
$not stretchy rightwards double arrow 2 x equals 3375 minus 16$
⇒ 2x =3359
⇒ x = 1679.5

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