Question

What are the solutions of this quadratic equation? x^2 – 6x= -58 Substitute the values of a and b to complete the solutions.

Answer 1

Let us first add 58 to both sides of the equation:

`x^2-6x+58=-58+58`
`x^2-6x+58=0`

And now let us use the quadratic formula to find x

`x=\frac{6\pm\sqrt[]{36-4(1)(58)}}{2}`
`x=3\pm14i`

Hence, the two solutions are

`x=3+14i`

and

`x=3-14i\text{.}`

meaning a = 3 and b = 14.