Question

sum of squares of two consecutive positive even integers is 100 ,find those numbers by using quadratic equation​

Answer 1

Answer:

6 and 4

Step-by-step explanation:

integers is 100 ,find those numbers by using quadratic equation

Answer 2

Step-by-step explanation:

let one no be x

another even no is x+2

eqn.

(x)² + (x+2)²= 100

x² + x²+4+4x= 100

2x²+4x-96 =0

x²+2x-48=0

x²+8x-6x-48= 0

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

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

x= 6,-8

the number is 6 and the next positive even integer is 8

6²+8²=100

36+64=100

100=100

LHS=RHS