Answer to Question #236787 in Algebra for CCW

Question #236787

Polynomial Inequalities:

10) 6 + 5x - 6x^ 2 > 0

show number line and answer in interval notation

Expert's answer

"6x^2-5x-6=0"

"x=\\frac{5\\pm \\sqrt{25+144}}{12}"

"x_1=-2\/3,\\ x_2=3\/2"

"6x^2-5x-6=(3x+2)(2x-3)"

"(3x+2)(2x-3)<0"

"x\\isin (-2\/3,3\/2)"

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