Question

Eind the roots of equation x²-3x-m(m+3)=0
Where m is constant.​

Answer 1

Step-by-step explanation:

10th

Maths

Quadratic Equations

Solutions of Quadratic Equations

The roots of the equation x...

MATHS

The roots of the equation x

2

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

EASY

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ANSWER

Given: equation x

2

−3x−m(m+3)=0, where m is a constant

To find the roots of the equation

Sol: the given equation is of form ax

2

+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=

2a

−b±

b

2

−4ac

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

x=

2

−(−3)±

(−3)

2

−4(1)(−m(m+3)

⟹x=

2

3±

9+4m

2

+12m

⟹x=

2

3±(2m+3)

or x=

2

3+(2m+3)

,x=

2

3−(2m+3)

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