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The two consective positive even number whose sum of their square is 580 |
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Answer» Answer: Let 2x and 2x+2 be the required even NUMBERS. Given that the sum of squares numbers is 580. Therefore, (2x) 2 +(2x+2) 2 =580 2 +4x 2 +4+8x=580 8X 2 +8x+4−580=0 8x 2 +8x−576=0 x 2 +x−72=0⇒ Required quadratic equation. x 2 +9x−8x−72=0 (x+9)(x−8)=0 x=−9 or x=8 Case I:- x=−9 Therefore, the required numbers are- 2x=2×−9=−18 2x++2=2×−9+2=−16 Case II:- x=8 Therefore, the required numbers are- 2x=2×8=16 2x+2=2×8+2=18 Hence the required numbers are −18 and −16 or 16 and 18. Hope This Will Helps you Have a GOOD day /night Please mark me as BRAINLIESTThank you |
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