Question

The product of two consecutive integers is 306. answer it to be brilliantest​

Answer 1

Hey friend here is your answer.

Let no be x and x+ 1

Therefore , x (× + 1 ) = 306

x^2 + x - 306 = 0

x^2 + 18x - 17x - 306 = 0

x ( x + 18) - 17 (x + 18 ) =0

(x -17) or x + 18

Therefore , x = 17 and x = -18

But - 18 reject

So the no are 17 and 17+ 1 = 18.

Hope it helps you.

Answer 2

$\huge{\boxed{\boxed{\tt{Question :-}}}}$

The product of two consecutive integers is 306. Find those two integers.

$\huge{\boxed{\boxed{\tt{Solution :- }}}}$

Let the 1st integer be x and 2nd be x + 1

Their product is 306

According to the given condition

x × x + 1 = 306

☛ x² + x = 306

☛ x² + x - 306 = 0

☛ x² + 18x - 17x - 306 = 0

☛ x(x + 18) - 17(x + 18) = 0

☛ (x + 18) (x - 7) = 0

☛ x = 17 or x = -18

∴ 1st integer ☛ x

☛ 17

∴ 2nd integer ☛ x + 1

☛ 17 + 1

☛ 18

∴ $\large{\pink{\underline{\pink{\underline{\tt{\red{The\:two\:integers\:are\:17\:and\:18}}}}}}}$