Question

Factorise y^2-14y+49

Answer 1

y²-14y+49

y²-(7+7)y+49

y²-7y-7y+49

y(y-7)-7(y-7)

(y-7)(y-7)

Answer 2

Answer :-

• y = 7

Explanation :-

• We have to factorise the equation for finding the value of y from the equation.

• First of all we have to divide -14y into two parts whose sum is (-14y) and product is (49$\ y^{2}$)

• -7y and -7y

$\sf\implies{\ y^{2}-14y+49=0}$

$\sf\implies{\ y^{2}-7y-7y+49=0}$

$\sf\implies{y(y-7)-7(y-7)=0}$

$\sf\implies{(y-7)(y-7)=0}$

$\sf{\boxed{\green{\dag{y = 7}}}}$

So , value of y is 7

Verification :-

• For verification put value of y in equation if the answer will be zero then our solution is correct.

$\sf\longrightarrow{\ y^{2}-14y+49=0}$

$\sf\longrightarrow{\ (7)^{2}-14(7)+49=0}$

$\sf\longrightarrow{49-98+49=0}$

$\sf\longrightarrow{98-98=0}$

$\sf\longrightarrow{0=0}$

Verified ! So the value is Correct