Question

the product of two rational number is -9 if one of them is -12 find another​

Answer 1

Answer: 3/4

Step-by-step explanation: let the other number be x

therefore, x * -12 = -9

                 x = -9 / -12

                 x = 3/4

so the number is 3/4

Answer 2

Solution:-

━━━━━━━━━━━━━━━━━━━━━━━━━━

$\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}$

$:\implies$ Here it is given in the question that the product of 2 rational numbers is -9 and one of the number is -12. Now, the question has asked us find out the 2nd number. So, to find the 2 nd number we have to form an equation and then solve it. Follow the steps shown below to get the 2nd number.

----------------------

ANSWER:-

❍ 2nd number is = 3/4

GIVEN:-

» Product of 2 rational numbers = -9

» 1st number = -12

TO FIND:-

➨ Here we have to find the 2nd number.

SOLVING STEP BY STEP:-

• Let the 2nd number be x
• To find the 2nd number first we have to find the 2nd number we have to form an equation.
• Equation = -9 = -12 × x
• By solving the above equation we will get the value of x that is the 2nd number.

----------------------

Let's solve it:-

• Finding the value of x (2nd number):-

$\to \sf{ -9 = - 12 \times x}$

$\to \sf{Transposing \: - 15 \: to \: L.H.S.}$

$\to \sf{ \dfrac{ - 9}{ - 12} = x}$

$\to \sf{ \dfrac { \not{ - }9}{\not{-}12} = x}$

$\to \sf{ \dfrac {9}{12} = x}$

$\to \sf{ \dfrac{\not{9}}{\not{12}} = x}$

$\to \sf{\dfrac{3}{4} = x}$

$\overline{\boxed{\sf \dag x = \dfrac{3}{4} }}$

----------------------

VERIFICATION:-

$\to \sf{Product = 1st \: no. \times 2nd \: no.}$

$\to \sf{ - 12 \times \dfrac{3}{4} }$

$\to \sf{- \not{1} \not{2} \times \dfrac{3}{ \not{4}} }$

$\to \sf { - 3 \times 3}$

$\to \sf { - 3 \times 3 = - 9}$

$\to \sf{ -9 = - 9}$

$\sf{\therefore L.H.S = R.H.S}$

Hence, verified.

━━━━━━━━━━━━━━━━━━━━━━━━━━