Question

Solve the following equation for x by using the quadratic formula. If there is more than one solution, enter your solutions as a comma-separated list, like "1, 3".2x^2+9x+7=0

Answer 1

Explanation:

Given the equation:

`2x^2+9x+7=0`

• The coefficient of x², a=2

,

• The coefficient of x, b=9

,

• The constant, c=7

Substitute these values into the quadratic formula:

`\begin{gathered} x=(-b\pm√(b^2-4ac) )/(2a) \\ \implies x=\frac{-9\pm\sqrt[]{9^2-4(2)(7)}}{2*2}=\frac{-9\pm\sqrt[]{81-56}}{4}=\frac{-9\pm\sqrt[]{25}}{4} \\ \implies x=(-9\pm5)/(4) \end{gathered}`

Thus, the values of x are: