Question

X^2-x+2=0 Please use the quadratic formula

Answer 1

Answer:

$\boxed{\sf x=\cfrac{1\pm \sqrt{-7} }{2}}$

Step-by-step explanation:

$\sf x^2-x+2=0$

Use quadratic formula:

$\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac}}{2a}}$

$\sf a=1, b=-1, c=2$

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$\sf x_1,_2=\cfrac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\times \:1\times \:2}}{2\times \:1}$

• $\sf \sqrt{\left(-1\right)^2-4\times \:1\times \:2}$

• $\sf =\sqrt{-7}$

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$\sf x_1,_2\cfrac{-\left(-1\right)\pm \sqrt{-7}}{2\times \:1}$

• $\sf -(-1)=1$

• $2\times 1=2$

$\sf x_1,_2=\cfrac{1\pm \sqrt{-7} }{2}$

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