1 Answer

Urvish · Answer 1 · 2021-06-14T01:41:26+0000

We have been given an equation
$x^(2\:)=\:9x\:+\:6$ . We are asked to find the solution of our given equation.

We will use quadratic formula to solve our given problem.

$x=(-b\pm√(b^2-4ac))/(2a)$

To apply quadratic formula, we need our equation in form
ax^2+bc+c=0 .

x^(2)-9x-6=9x-9x+6-6

x^(2)-9x-6=0

Now we can see that
$a=1,b=-9\text{ and }c=-6$ .

$x=(-(-9)\pm√((-9)^2-4(1)(-6)))/(2(1))$

$x=(9\pm√(81+24))/(2)$

$x=(9\pm√(105))/(2)$

x=(9-√(105))/(2),(9+√(105))/(2)

Therefore, the solutions of our given equation are
(9-√(105))/(2),(9+√(105))/(2) .

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