Question

sum of the square of two consecutive positive even integers is 100 find two. number using quadratic equations ​

Answer 1

Answer:

x=49 and x+2=49+2=51

Step-by-step explanation:

Let the two consecutive no. be x and x+2

So according to the question,

x+x+2=100

2x=100-2

2x=98

x=98/2

x=49

Hope you mark me BRAINLIEST

Answer 2

Answer:

let one consecutive no be x

2nd evenconsecutive no will be x+2

according to question

x^2+(x+2)^2=100

x^2+x^2+2^2+2×x×2=100

2x^2+4x+4-100=0

2x^2+4x-96=0

2x^2+16x-12x-96=0

2x (x+8)-12 (x+8)=0

(2x+12)(x+8)=0

x=-12/2=-6

x=-8

ur answer is 6 & 8