Question

The solutions of the eq. Square root 25-x2=x-1

Answer 1

Answer:

The solution of the equation is {-3,4}

Step-by-step explanation:

$\sqrt{ 25 - {x}^{2} } = x - 1$

By squaring on both sides,

$25 - {x}^{2} = {(x - 1)}^{2}$

$25 - {x}^{2} = {x}^{2} - 2x + 1$

$2 {x}^{2} - 2x - 24 = 0$

$(x + 3)(x -4) = 0$

$x = - 3 \: and \: x = 4$