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
