Question

Alpha beta are the roots of x sqare minus px plus q=0 find alpha minus beta

Answer 1

Answer:

AnSwer:-

The value of

Given:-

The given quadratic equation is

Roots are

To find:-

The value of

SoLution:-

The quadratic equation is

Here, a=1, b=-p and c=q

i.e ....(1)

i.e. ....(2)

From identity

From (1) and (2)

{(\alpha-\beta)^{2} =(\alpha+\beta)^{2}-4\alpha\beta}

{(\alpha-\beta)^{2}=p^{2}-4q^{2}}

On taking square root of both the answer

{\alpha-\beta=\sqrt{p^{2}-4q^{2}}}

The value of \bold{\tt{\alpha-\beta \ is \ \sqrt{p^{2}-4q^{2}}}}

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