Question

check whether x=√2, -2√2 are the solutions of x^2+√2x-4=0 or not​

Answer 1

p(x) = x^2+√2x-4

p ( √2) = (√2)^2+√2(√2)-4

=2+2-4

=0

p(-2√2) = (-2√2)^2+√2(-2√2)-4

= 8 -4-4

= 0

hence , x=√2 , -2√2 are solutions of

x^2+√2x-4