Question

split the middle term : x2 + x - 306 = 0

Answer 1

Answer:

-17 , 18

Step-by-step explanation:

Given :  $x^2 + x - 306 = 0$

To Find: split the middle term

Solution:

Splitting of Middle Term is in which x term is the sum of two factors and product equal to last term.

$x^2 + x - 306 = 0$

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

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

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

$x = -17 , 18$

Hence the solution is -17 , 18

Answer 2

Answer:

-17, 18 are two roots of given quadratic equation

Explanation:

Given quadratic equation

x²+x-306=0

Splitting the middle term, we get

=> x²+17x-18x-306 = 0

=> x²+17x-18x-17×18=0

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

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

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

=> x = -17 Or x = 18

Therefore,

-17, 18 are two Roots of given quadratic equation.

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