Question

one root of the quadratic equations (x+5)(2x+3)=0 is 3/2 then the other roots is a)5 b)-5 c)2/3 d)-2/3
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Answer 1

Answer:

Definition:

If a quadratic equation ax² + bx + c = 0 has roots alpha, beta.

Then

Sum of roots is given by

$\alpha + \beta = \frac{ - b}{a}$

Solution:

Let us assume the other root of equation as 'y'

Simplified equation: 2x²+ 13x + 15 = 0

Sum of roots = -b/a = -13/2

So, -3/2 + y = -13/2

Then y = -5

Conclusion: Other root of given equation is y = -5.

Option (B) is correct answer.

Your mistake: In this question, you gave that one if the root is 3/2 but it is -3/2.

Once check it.