Question

does x = -6 solve the following polynomial equation? -54x² - 4x = 9x³ + 45 answer 3 points yes no

Explanation:

Step1: Substitute \( x = -6 \) into left side

Calculate \( -54x^2 - 4x \) when \( x = -6 \):
\( -54(-6)^2 - 4(-6) = -54(36) + 24 = -1944 + 24 = -1920 \)

Step2: Substitute \( x = -6 \) into right side

Calculate \( 9x^3 + 45 \) when \( x = -6 \):
\( 9(-6)^3 + 45 = 9(-216) + 45 = -1944 + 45 = -1899 \)

Step3: Compare both sides

Left side: \( -1920 \), Right side: \( -1899 \). Since \( -1920
eq -1899 \), \( x = -6 \) does not satisfy the equation.

Answer:

No