Question

solve the following quadratic equation. using quadratic formula...
${x}^{2} - 9x + 14 = 0$

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Answer 1

Answer: x= 7 and x=2 are the roots of the given quadratic equation

Step-by-step explanation:

Given,

quadratic formula x^2-9x+14

To solve quadratic equation

$\frac{-b+-\sqrt{(b^{2}-4*a*c )} }{2*a}$

Here, a=1, b=-9, c=14

$\frac{-(-9)+-\sqrt{(9^{2} )-4*1*14} }{2*1}$

=$\frac{9+-\sqrt{81-56} }{2}$

$\frac{9+-\sqrt{25} }{2}$

=(9+5)/2  or  (9-5)/2

=14/2   or   4/2

=7 or 2

Hence, x= 7 and x=2 are the roots of the given quadratic equation