Math, asked by KothaTeja7548, 9 months ago

A square + b square x A + B x a minus b x a to the power 2 b ^ 2

Answers

Answered by iemsmahjabinnisha
0

Answer:

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Class 10

>>Maths

>>Quadratic Equations

>>Solutions of Quadratic Equations

>>Solve the equation a^2x^2 - 3abx + 2b^2

Question

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Solve the equation a

2

x

2

−3abx+2b

2

=0 by completing the square.

Easy

Solution

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There is nothing to prove if a = 0. For a

=0, we have

a

2

x

2

−3abx+2b

2

=0

→x

2

a

3b

x+

a

2

2b

2

=0 →x

2

−2(

2a

3b

)x=

a

2

−2b

2

→x

2

−2(

2a

3b

)x+

4a

2

9b

2

a

2

2b

2

→(x−

2a

3b

)

2

=

4a

2

9b

2

−8b

2

→(x−

2a

3b

)

2

=

4a

2

b

2

→x−

2a

3b

2a

b

→x=

2a

3b±b

Therefore, the solution set is {

a

b

,

a

2b

}.

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