Question

. If-2 is the one of the roots of a quadratic equation x2 + 3x + 2 = 0 then the other root is..​

Answer 1

Answer:

-1

Step-by-step explanation:

$\fcolorbox{black}{green}{ Your \: Required\: Answer \:} \downarrow$

$\tt x^2 + 3x + 2 = 0$

$\twoheadrightarrow \tt x^2 + x+2x +2 = 0$

$\twoheadrightarrow \tt x(x+1) +2(x+1) =0$

$\twoheadrightarrow \tt (x+1)(x+2) = 0$

If x + 2 = 0

→ x = -2

If x + 1 = 0

→ x = -1

$\pink{\underline{ \bf \because One \: Root \: = -2} \: \purple{\underline{\bf So \: other \: root = -1}}}$

Answer 2

Answer:

$\underline{\purple{\ddot{\Mathsdude}}}$

◇◇Given:-

• The quadratic equation x^2+3x+2=0

◇◇To prove :-

• Finding of other roots of quadratic equation

♤♤Explanation: -

• Here let x be the other root

• x^2+3x+2 =0
• x^2+x+2x+2=0
• x (x+2)+1 (x+2)=0
• (x+1) (x+2) =0

x=-1 or x=-2

♧Therefore ,

the other roots is -1 and -2.

♧Hope it helps u mate .

♧Thank you