X^2 - 4x = 7

find the answer in square root

1 answer

To solve this equation for x in terms of square root, we need to rearrange the equation:

x^2 - 4x = 7
x^2 - 4x - 7 = 0

Next, we can use the quadratic formula to find the solutions for x:

x = [4 ± sqrt((-4)^2 - 4*1*(-7))] / 2*1
x = [4 ± sqrt(16 + 28)] / 2
x = [4 ± sqrt(44)] / 2
x = [4 ± 2√11] / 2
x = 2 ± √11

Therefore, the solutions for x in terms of square root are x = 2 + √11 and x = 2 - √11.