Question

How to solve this x²-12x+35=0 using the quadratic formula show your solution ​

Answer 1

Answer:

answerbis attached in photo

Answer 2

$Compare \: given \: quadratic \: equation:$

$x^{2} - 12x +35 = 0\: with \:ax^{2}+bx+c=0,$

$we \:get$

$a = 1 , b = -12 \:and \: c = 35$

$Discriminant (D) = b^{2} - 4ac$

$= (-12)^{2} - 4 \times 1 \times 35$

$= 144 - 140$

$= 4$

/* By Quadratic Formula */

$x = \frac{-b\pm \sqrt{D}}{2a}$

$= \frac{ -(-12) \pm \sqrt{4}}{2 \times 1 }$

$= \frac{12\pm 2 }{2}$

Therefore.,

$x = \frac{12+2}{2} \: Or \: x = \frac{12-2}{2}$

$\implies x = \frac{14}{2} \: Or \: x = \frac{10}{2}$

$\implies x = 7 \: Or \: x = 5$

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