Explanation Definition used: General quadratic equation : “Given that a , b , and c are constant ( a ≠ 0 ) , the equation a x 2 + b x 2 + c = 0 is called the general quadratic equation in x ”. Calculation: Consider the equation y 3 + 2 y 3 2 = 80 . In order to find the value of y , first rewrite the equation in quadratic form. Substitute x = y 3 2 in y 3 + 2 y 3 2 = 80 and simplify the equation as follows. x 2 + 2 x − 80 = 0 x 2 + 10 x − 8 x − 80 = 0 x ( x + 10 ) − 8 ( x + 10 ) = 0 ( x + 10 ) ( x − 8 ) = 0 On further simplification, x − 8 = 0 or

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ISBN: 9780134437705

Author: Washington

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Chapter 14.3, Problem 14E

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To solve: The equation y3+2y32=80 algebraically.

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The equation y 3 + 2 y 3 2 = 80 algebraically.

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