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The sum of a number and it's square is 63/4, find the numbers.

Posted by Ashish Kalia 6 years, 7 months ago

CBSE > Class 10 > Mathematics

2 answers

Yogita Ingle 6 years, 7 months ago

let 'x' be the number

Then,according to the question

x + x² = (63/4)

4x²+ 4x -63 = 0

Using splitting the middle term,

4x² + 18x - 14x -63 = 0

2x(2x-9) - 7(2x-9) = 0

(2x - 7)(2x - 9) = 0

⇒ x = (7/2) or (9/2)

x = (7/2) satisfy the condition given in the question

so, x =(7/2) is the number

0Thank You

? ? ? 6 years, 7 months ago

Solve it like x +x^2=63/4 where x is the no.

1Thank You

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