Question

Determine the solution for x2 + 36 > 12x

Answer 1

$\huge\text{Hey there!}$

$\large\boxed{\mathsf{x^2 + 36 > 12x}}$

$\large\text{SUBTRACT 12x to BOTH SIDES.}$

$\large\boxed{\mathsf{\rightarrow x^2 + 36 - 12x = 12x - 12x}}$

$\large\text{SIMPLIFY IT!}$

$\large\text{NEW EQUATION: }\large\boxed{\mathsf{x^2 - 12x + 36 = 0}}$

$\large\text{FACTOR the LEFT side: \boxed{\mathsf{(x - 6)(x - 6) = 0}}}$

$\large\text{We get: \boxed{\mathsf{x = 6}}}$

$\large\text{CHECK to make sure you have intervals with the equations.}$

$\large\text{Either of these inequalities should work with your given inequality}\downarrow$

$\large\text{YOUR ANSWERS..}$

$\large\boxed{\mathsf{x > 6}}\\\\\large\boxed{\mathsf{x < 6}}$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

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