Intermediate Algebra for College Students (7th Edition)

Published by Pearson

Chapter 8 - Section 8.4 - Equations Quadratic in Form - Exercise Set - Page 637: 63

Answer

DOES NOT MAKE SENSE. The standard form of a quadratic equation is $ax^2 + bx + c = 0$ $5x^{\frac{2}{3}}+ 11x^{\frac{1}{3}}+ 2 = 0$ can be rewritten as: $5x^2+11x+2=0$ by letting $u=x^{\frac{1}{3}}$. Likewise, $11x^{\frac{1}{3}} +5x^{\frac{2}{3}}+ 2 = 0$ can be rewritten as: $11x+5x^2 +2=0$ by letting $u=x^{\frac{1}{3}}$. Both equations are still in quadratic form.

Work Step by Step

DOES NOT MAKE SENSE. The standard form of a quadratic equation is $ax^2 + bx + c = 0$ $5x^{\frac{2}{3}}+ 11x^{\frac{1}{3}}+ 2 = 0$ can be rewritten as: $5x^2+11x+2=0$ by letting $u=x^{\frac{1}{3}}$. Likewise, $11x^{\frac{1}{3}} +5x^{\frac{2}{3}}+ 2 = 0$ can be rewritten as: $11x+5x^2 +2=0$ by letting $u=x^{\frac{1}{3}}$. Both equations are still in quadratic form.

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