Please assist with solving linear equation $$(2x-5)(2x+5)=(2x-3)^2$$
I tried to square root but it doesn't make sense. Thank you in advance
Linear equation involving square
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linear-algebra
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2Simply expand and set =0, the result is a linear equation. – 2017-02-08
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0How do you know that it is linear ??? – 2017-02-08
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0@DonAntonio: of course it is. This question is to the OP who mysteriously knows that the equation is linear though is unable to solve. – 2017-02-08
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0@YvesDaoust Oh, I see...Since your comment came *after* the one by Squirtle I thought you meant to ask him. – 2017-02-08
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0@DonAntonio: I would have addressed him explicitly. – 2017-02-08
1 Answers
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You cannot decide if an equation is linear or not if the equation is not written in the canonical form, i.e. if it is not written as:
polynomial in the unknown $x=0$ .
In your case , reducing to the canonical form, you find: $$ 4x^2-25=4x^2+9-12x \quad \iff \quad 12x-34=0 $$ so the equation has degree $1$ in $x$.
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0You are welcome. Don't forget to accept if you want. – 2017-02-08