Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it int

correct position in the answer box. Release your mouse button when the item is place. If you change your mind,
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Solve the following problem for the roots by using the quadratic formula.
2(6 - x) = x(x + 5)

Answer 1

The roots are
`x=(-7+ √(97))/(2)\text{ and }x=(-7- √(97))/(2)`.

Explanation:

Consider the provided equation.

`2(6 - x) = x(x + 5)`

Remove the parenthesis and simplify.

`12-2 x= x^2 + 5x`

`x^2+7x-12=0`

Now use the quadratic formula
`x=(-b\pm √(b^2-4ac))/(2a)`.

Susbtitute a=1, b=7 and c=-12 in above formula.

`x=(-7\pm √(7^2-4(1)(-12)))/(2(1))`

`x=(-7\pm √(49+48))/(2)`

`x=(-7\pm √(97))/(2)`

Hence, the roots are
`x=(-7+ √(97))/(2)\text{ and }x=(-7- √(97))/(2)`.