Find three consecutive square numbers whose sum is 149(I need the steps)​

Question

Find three consecutive square numbers whose sum is 149(I need the steps)​

in progress 0
Trung Dũng 6 months 2021-08-04T11:37:12+00:00 1 Answers 29 views 0

Answers ( )

    0
    2021-08-04T11:38:39+00:00

    Answer:

    6,7,8

    Step-by-step explanation:

    according to the question

    x²+(x+1)²+(x+2)²=149

    3x²+6x+5=149

    3x²+6x+5-149=0

    3x²+6x-144=0

    x²+2x-48=0

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

    x=-8

    x=6

    therefore

    x=6 (note: it says the consecutive numbers so -8 isn’t applicable)

    so the numbers are

    6,(6+1),(6+2)

    6,7,8

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )