Solve (root 2x-1) - (root x+11) = -1.
(root 2x-1) - (root x+11) = -1
(root 2x-1) = (root x+11) - 1
2x-1 = ((root x+11) - 1)^2
2x-1 = x+11 - 2(root x+11) + 2
2(root x+11) = 14 - x
4(x+11) = 196 - 28x + x^2
4x + 44 = 196 - 28x + x^2
x^2 - 32x + 152 = 0
And now I cannot factor this. When I use the quadratic equation, I get wrong answers also. The answer is 5. Could someone please show me how to get this answer?
Thanks,
sf
(root 2x-1) - (root x+11) = -1
(root 2x-1) = (root x+11) - 1
2x-1 = ((root x+11) - 1)^2
2x-1 = x+11 - 2(root x+11) + 2
2(root x+11) = 14 - x
4(x+11) = 196 - 28x + x^2
4x + 44 = 196 - 28x + x^2
x^2 - 32x + 152 = 0
And now I cannot factor this. When I use the quadratic equation, I get wrong answers also. The answer is 5. Could someone please show me how to get this answer?
Thanks,
sf