What are the exact solutions of x2 = 4 − 7x?

x^2 = 4 -7x

Need to rewrite the equation in quadratic form.

Add 7x to each side:

x^2 +7x = 4

Subtract 4 from each side:

x^2 + 7x - 4 = 0

Now using the quadratic formula -b +/-√(b^2-4(ac)) / 2a

We can solve for x.

a = 1, b = 7 and c = -4

Replace the letters with their values:

-7 +/- √(7^2 -4(1-4)) / 2*1

Simplify:

-7 +/- √65 /2

The exact answers are:

X = -7 + √65 / 2 and X = -7 - √65 / 2

f is the midpoint of