Question

Use the quadratic formula to solve the equation. 5x^2−13x+7=0 Enter your answers, in simplified radical form, in the boxes.

Answer 1

=1.3+0.1sqrt29, 1.3-0.1sqrt29

Answer 2

The value of x are
`(13+√(29))/(10)` and
`(13-√(29))/(10)`.

Explanation:

The given equation is:

`5x^2-13x+7=0`

Solving the above equation using the quadratic formula, we get

`x=\frac{-(-13){\pm}√((-13)^2-4(5)(7))}{2(5)}`

`x=\frac{13{\pm}√((169-140))}{10}`

`x=\frac{13{\pm}√(29)}{10}`

Thus, the value of x are
`(13+√(29))/(10)` and
`(13-√(29))/(10)`.

which is the required simplified form of the given expression.