Question

The roots of the quadratic equation

2 − 3 − ( + 3) = 0 , where m is a constant , are

a)m, m+3b) -m, m+3 c) m, -(m+3) d)-m, -(m+3)​

Answer 1

Answer:

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Answer 2

Answer:

option(b). -m, m+3

Step-by-step explanation:

Given: equation x²−3x−m(m+3)=0, where m is a constant

To find the roots of the equation

Sol: the given equation is of form ax²+bx+c=0

∴a=1,b=−3,c=−m(m+3)

We know the roots of the equation can be find out using the formula,

x= -b±√b²-4ac

2a

Substituting the values of a, b, c, we get

x= −(−3)±√(−3) ²−4(1)(−m(m+3)

2

By solving we get,

⟹x=m+3,x=−m are the required roots of the equation.

Hope this helps you