Question

fctorize please p(x)=6x² - 7x+12.​

Answer 1

Answer:

7+√254/12

7-√254/12

Step-by-step explanation:

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Answer 2

$\sf p\left(x\right)6x^2-7x=12\\\\\\p\cdot \:6x^2-7x=12\\\\\\p\cdot \:6x^2-7x-12=12-12\\\\\\p\cdot \:6x^2-7x-12=0\\\\\\\to \displaystyle x_{1,\:2}=\dfrac{-\left(-7\right)\pm \sqrt{\left(-7\right)^2-4p\cdot \:6\left(-12\right)}}{2p\cdot \:6}\\\\\\\to x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{49+288p}}{2p\cdot \:6};\quad \:p\ne \:0\\\\\\ \\\\\to \boxed{\sf \blue{x=\frac{7+\sqrt{49+288p}}{12p}} }\\\\\\\to \boxed{\sf \red{x=\frac{7-\sqrt{49+288p}}{12p};\quad \:p\ne \:0}}$