Answer:
x> 6 twice
Step-by-step explanation:
x^2+36>12x
x² + 36 > 12x
Collect like terms
x² - 12x + 36 > 0
Solve quadratically using factorisation method by finding two factors of 36 that when added gives -12, the coefficient of x.
Factors = -6 and -6 which both add up to -12
Rewrite equation
x² - 6x - 6x +36> 0
Factorise by taking out the common factor
x ( x - 6) -6( x - 6) > 0
(x -6)(x - 6) > 0
x - 6 > 0 or x -6 > 0
Add 6 to both sides
x -6+6> 0+6 or x-6+6>0+6
x > 6 or x> 6
x> 6 twice
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