Question

Solutions for 2x^2+18x=20, worth a TON, please only 100% answers ! Thank u !

Answer 1

The solution of the given quadratic equation is 1 and (-10).

Explanation:

`2x^2+18x=20`

`x^2+9x=(20)/(2)`

`x^2+9x-10=0`

`ax^2+bx+c=0`

Solving equation by quadratic formula:

Here , a = 1,b = 9, c = (-10)

`D=b^2-4ac=(9)^2-4(1)(-10)=121`

`x=\frac{-b+{√(D)}}{2a}=((-9)+√(121))/(2(1))=1`

`x=\frac{-b-{√(D)}}{2a}=((-9)-√(121))/(2(1))=(-10)`

The solution of the given quadratic equation is 1 and (-10).