Computer Science, asked by khushiprince, 7 months ago

If p^2x^2 – q^2 = 0, then x =?​

Answers

Answered by rutuja3270
1

Answer:

10th

Maths

Quadratic Equations

Solutions of Quadratic Equations

If (p2 - q2)x2 + (q2 - r2)x...

MATHS

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Asked on January 17, 2020 by

Farhaz Mohata

If (p

2

−q

2

)x

2

+(q

2

−r

2

)x+r

2

−p

2

=0 and (p

2

−q

2

)y

2

+(r

2

−p

2

)y+q

2

−r

2

=0 have a common root for all real values of p, q and r, then find the common root.

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ANSWER

(p

2

−q

2

)x

2

+(q

2

−r

2

)x+r

2

−p

2

=0 ....(1)

The sum of the coefficients (p

2

−q

2

)+(q

2

−r

2

)+(r

2

−p

2

)=0

Therefore, x=1 is a root of equation 1.

(p

2

−q

2

)y

2

+(r

2

−p

2

)y+q

2

−r

2

=0 .....(2)

p

2

−q

2

+r

2

−p

2

+q

2

−r

2

=0

Therefore, y=1 is a root of equation 2.

Therefore, 1 is the common root of equations 1 and 2.

I hope it will help you ☺️

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