Question

If the sum of a number and its square is 992 . Find numbers

Answer 1

Answer:

Let the number be x.

Then it's square will be x².

=) x + x² = 992

=) x + x² - 992 = 0

=) (x + 32) (x - 31) = 0

=) x = -32(we will not take this value because x cannot be negative) , x = 31

=) The number is 31.

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Answer 2

Step-by-step explanation:

X + X² = 992

X² + X - 992 = 0

X² + 32X - 31X - 992 = 0

X(X + 32) - 31(X + 32) = 0

(X + 32) (X - 31) = 0

X = -32 , X = 31 ✓

सत्यापन : 31 + 31² = 31 + 961 = 992

So the number is 31