Question

21. State two values of y for which the value of 3y + 4y – 14 is
perfect square.​

Answer 1

Answer:

Step-by-step explanation:

To form perfect square, we can consider the right hand side of the equation to be a perfect square and then equate along with it.

Hence, let us first consider the square of 7 (since 4y and 3y will add up to be 7y, just so that it gets divided)

$3y+4y-14=49\\else,3y+4y=35\\else,7y=35\\else,y=\frac{35}{7} =5$

Now let's go with 9

$3y+4y=14+9\\else,7y=23\\else,y=\frac{23}{7}$

So, we got the two values which are 5 and 23/7.

This can be done by taking any perfect square on the right hand side of the equation.