2.4 Prove that the equation $$ \frac{3}{4} x^{2}+9 x=-27 $$ has only one rational root, namely $$ x=-6 $$, without solving the equation.

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Harmon Davies · Accepted Answer

The equation $$ \frac{3}{4} x^{2}+9 x=-27 $$ has only one rational root, $$ x=-6 $$, because the function is strictly increasing and only $$ x=-6 $$ satisfies the equation.

2.4 Prove that the equation \( \frac{3}{4} x^{2}+9 x=-27 \) has only one rational root, namely \( x=-6 \), without solving the equation.

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2.4 Prove that the equation \( \frac{3}{4} x^{2}+9 x=-27 \) has only one rational root, namely \( x=-6 \), without solving the equation.

Solución ThothAI de Upstudy

Respuesta rápida

Solución paso a paso

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