👤

Find the quotient of x^2 + 5x - 24/2x^2 + 16x. Simplify your answer.

Sagot :

FIND THE QUOTIENT

Equation: [tex]\frac{x^{2} +5x-24}{2x^{2} +16x}[/tex]

Solution:

[tex]\frac{x^{2} +5x-24}{2x^{2} +16x}[/tex]

[tex]\frac{(x-3)(x+8)}{2x^{2} +16x}[/tex]

[tex]\frac{(x-3)(x+8)}{2x(x)+16x}[/tex]

[tex]\frac{(x-3)(x+8)}{2x(x)+2x(8)}[/tex]

[tex]\frac{(x-3)(x+8)}{2x(x+8)}[/tex]

[tex]\frac{x-3}{2x}[/tex]

Answer:

[tex]{\blue{\huge{\boxed{\frac{x-3}{2x}}}}}[/tex]

[tex]{\purple{\boxed{Soyeon:))}}}[/tex]