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