Solve for the roots in simplest form using the quadratic formula 4x^2-12x=-17

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  x = 3/2 ± i√2

Step-by-step explanation:

For quadratic ax² +bx +c = 0, the roots are given by the formula ...

When we put your equation into standard form:

  4x^2 -12x +17 = 0

we see the relevant formula values are ...

  a = 4, b = -12, c = 17

Then the roots are ...

if you mean

then it's c. 8, -7/3

but if you mean

then it is