Question

Sum of the squares of two consecutive positive
even integers is 100 find those numbers by using
quadratic equation.​

Answer 1

Step-by-step explanation:

A.T.Q

x²+(x+2)²=x²+x²+4+4x=100

2x²+4x+4=100

x²+2x+2=50

x²+8x-6x-48=0

x(x+8)-6(x+8)=0

(x-6)(x+8)=0

x=6 x=-8 (Reject no. can't be -ve)

no.s are=

6,8