Question

Write the number of real roots of the equation x2 +3x +2 =0​

Answer 1

Answer:

4

Step-by-step explanation:

You just need to apply the formula. Try once by yourself before looking at a complete solution. Hence the given quadratic equation has two distinct real roots, because discriminant is greater than 0. Hence the root of quadratic equation x2−3x−2=0 are x=3+√172andx=3−√172.

x  

2

−3∣x∣+2=0

When x>0, we have

x  

2

−3x+2=0

⇒(x−2)(x−1)=0

⇒x=2 or x=1

and when x<0,

x  

2

+3x+2=0

or, (x+2)(x+1)=0

or, x=−2 or x=−1

Therefore, number of real roots is 4.

Answer 2

Answer:

You just need to apply the formula. Try once by yourself before looking at a complete solution. Hence the given quadratic equation has two distinct real roots, because discriminant is greater than 0. Hence the root of quadratic equation x2−3x−2=0 are x=3+√172andx=3−√172.

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