Question

what are the exact solutions of x^2 = 4 − 7x? x = x equals negative 7 plus or minus the square root of thirty-three all over 2 x = x equals negative 7 plus or minus the square root of sixty-five all over 2 x = x equals 7 plus or minus the square root of sixty-five all over 2 x = x equals 7 plus or minus the square root of thirty-three all over 2

Answer 1

             x² = -7x + 4
x² + 7x - 4 = 0
x = -7 ± √(7² - 4(1)(-4))
                 2(1)
x = -7 ± √(49 + 16)
               2
x = -7 ± √(65)
             2
x ≈ -7 ± 8.06
           2
x ≈ -3.5 ± 4.03
x ≈ -3.5 + 4.03    or    x ≈ -3.5 - 4.03
x ≈ 0.53         or         x ≈ -7.53