Math, asked by nishisingh787390, 5 months ago

xSQUARE +7x+12 please btao​

Answers

Answered by xyz222333
0

Step-by-step explanation:

Answer....,,.,,.,.,.,.,.,.,.,

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Answered by Flaunt
70

Question :

\huge\bold{ {x}^{2}  + 7x + 12}

It is in the form of a quadratic equation e.g.=>\bold{\red{a {x}^{2}  + bx + c}}

=>A quadratic equation have maximum degree or power 2.

=>There will always two roots of a quadratic equation.

It can be factorise as it is a quadratic equation.

So,let's factorise it to find roots.

procedure for factorise

How to factorise..??

step1: Multiply the constant term with coefficient of x square.suppose we obtain 'z' after multiplying

step 2:Think of a number whose sum equal to the coefficient of middle term and product makes the 'z'

step 3: now split the middle term by factors of that number which you think.

step 4:At last take common and compare with equal to 0 we obtain the roots .

\bold{\underbrace{ {x}^{2}  + 7x + 12}_{12} }= 0

=>12=4×3

and sum =4+3=7 makes the coefficient of middle term

 =  >  {x}^{2}  + 4x + 3x + 12

 =  > x(x + 4) + 3(x + 4) = 0

 =  > (x + 3)(x + 4) = 0

Now compare roots equal to 0.

x + 3 = 0

\bold{\red{x =  - 3}}

x + 4 = 0

\bold{\red{x =  - 4}}

Hence ,the roots of given Quadratic equation are

\bold{\red{x =  - 3}} ,\bold{\red{x =  - 4}}

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