Question

help in the underlined one please
PS: reply ASAP I have exam tomorrow

Answer 1

two numbers which differ by 3 and their product is 54 are 6 and 9


pl anek as brainliest

Answer 2

Answer :



Let the two numbers whose difference is 3 and product is 54 be x and y


ATQ --

x - y = 3
x × y = 54


$\binom{x - y = 3}{xy = 54} \\ \\ = > \: solve \: the \: equation \: for \: x \\ \\ = > \: \binom{x = 3 + y}{xy = 54} \\ \\ = > \: substitute \: the \: given \: value \: of \: x \: in \: the \: equation \: xy \: = 54 \\ \\ = > \: (3 + y)y = 54 \\ \\ = > \: solve \: for \: y \\ \\ = > \: 3y + {y}^{2} = 54 \\ \\ = > 3y + {y}^{2} - 54 = 0 \\ \\ = > \: {y}^{2} + 3y - 54 = 0 \\ \\ = > \: y = \frac{ - 3 + \sqrt{ {3}^{2} - 4 \times 1 \times ( - 54) } }{2 \times 1} \\ \\ = > \: y = \frac{ - 3 + \sqrt{225} }{2} \\ \\ = > \: y = \frac{ - 3 + 15}{2} \\ \\ = > \: y = \frac{12}{2} \\ \\ = > \: y = 6 \\ \\ substitute \: the \: given \: value \: of \: y \: in \: the \: equation \: x = 3 + y \\ \\ = > \: x = 3 + 6 \\ \\ = > \: x = 9 \\ \\ \: = > \: therefore \: x \: = 9 \: and \: y = 6 \\ \\ \\ \: = > \: verification \: \\ \\ = \: 9 - 6 = 3 \\ \\ = > \: 9 \times 6 = 54$


Therefore The Two numbers are 9 and 6


HOPE it will help you