Question

Sum of square of two consecutive positive even number is 100.find them by using quadratic equation

Answer 1

Answer:

Numbers are 36 and 64 square of 6 and 8 respectively.

Step-by-step explanation:

x²+(x+2)²=100

x²+(x²+4x+4)=100

2x²+4x=100-4

2x²+4x=96

2x²/2+4x/2=96/2 //dividing by 2 on both side.

x²+2x=48

x²+2x-48=0

(x-6)(x+8)=0 //by splitting method

If x=6 :

6²+(6+2)²=100

36+8²=100

36+64=100

100=100

If x=-8 :

-8²+(-8+2)²=100

64+(-6)²=100

64+36=100

100=100