3 years ago

What is the solution set of the following equation? -5x x 9 = -4x 12

Mathematics

1 answer:

Rama09 [41]3 years ago

8 0

The solution of this equation is 16/15

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Answer:

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Step-by-step explanation:

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lbvjy [14]

Given:

The equation is:

$(2x+3y)(2x-3y)=4x^2+6y^2$

To find:

The error in the given equation and correct it.

Solution:

We have,

$(2x+3y)(2x-3y)=4x^2+6y^2$

Taking left-hand side, we get

$L.H.S.=(2x+3y)(2x-3y)$

$L.H.S.=(2x)^2-(3y)^2$ $[\because a^2-b^2=(a-b)(a+b)]$

$L.H.S.=(2)^2(x)^2-(3)^2(y)^2$ $[\because (ab)^x=a^xb^x]$

$L.H.S.=4x^2-9y^2$

It is not equal to right-hand side $4x^2+6y^2$ . In the right hand side, there must be a negative sign instead of positive sign.

Therefore, $(2x+3y)(2x-3y)=4x^2-6y^2$ .

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