Question

The zeroes of the polynomial xsquare - 3x - m(m+3)

Answer 1

Answer:

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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 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= 23± 9+4m 2 +12m

⟹x= 23±(2m+3)

or x= 23+(2m+3)

,x= 23−(2m+3)

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