Question

Use the quadratic formula to solve −16x2−12x+10=0x= Simplify your answers, using square roots as needed. If there is more than 1 solution, separate the answers with a comma.

Answer 1

Given:

`-16x^2-12x+10=0`

Find:

Value of x with the help of quadratic formula.

Sol:

Quadratic formula:

`\begin{gathered} ax^2+bx+c=0 \\ \\ x=(-b\pm√(b^2-4ac))/(2a) \end{gathered}`

Use the formula :

`\begin{gathered} -16x^2-12x+10=0 \\ \\ x=(-(-12)\pm√((-12)^2-4(-16)(10)))/(2(-16)) \\ \\ x=(12\pm√(144+640))/(-32) \\ \\ x=(12\pm√(784))/(-32) \\ \\ x=(12\pm28)/(-32) \\ \\ x=(12+28)/(-32);x=(12-28)/(-32) \\ \\ x=-1.25;x=0.5 \end{gathered}`

So the value of "x" is -1.25 and 0.5