A math problem I need help with from my SAT prep book. Thanks!
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(2x-5)(2x+5) = 5
(2x-5)(2x+5) - 5 = 0
4x^2 - 25 - 5 = 0
4x^2 - 30 = 0{Take This}
4x^2 - 30 = 0
4x^2 = 30
(2x-5)(2x+5) - 5 = 0
4x^2 - 25 - 5 = 0
4x^2 - 30 = 0{Take This}
4x^2 - 30 = 0
4x^2 = 30
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The way to do it is expand out the brackets combine like terms refactorise and solve for x. I don't have time to do it myself so I plugged it into wolfram alpha.
x = + or - sqrt(15/2)
now just substitute this into 4x^2
4(15/2) = 2(15) = 30
hope this helps.
x = + or - sqrt(15/2)
now just substitute this into 4x^2
4(15/2) = 2(15) = 30
hope this helps.
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Note that, by expanding (2x - 5)(2x + 5), we see that:
(2x - 5)(2x + 5) = 4x^2 + 10x - 10x - 25 = 4x^2 - 25.
Thus, 4x^2 - 25 = 5. Adding 25 to both sides yields:
4x^2 = 5 + 25 = 30.
I hope this helps!
(2x - 5)(2x + 5) = 4x^2 + 10x - 10x - 25 = 4x^2 - 25.
Thus, 4x^2 - 25 = 5. Adding 25 to both sides yields:
4x^2 = 5 + 25 = 30.
I hope this helps!
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Its 30.
Just multiply (2x-5)(2x+5) and expand.
Just multiply (2x-5)(2x+5) and expand.
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(2x - 5)(2x + 5) = 5
4x^2 - 25 = 5
4x^2 = 30
4x^2 - 25 = 5
4x^2 = 30
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Expression on the left represents 'difference of two squares'
i.e. 4x^2 - 5^2
thus, 4x^2 = 5 + 25 = 30
i.e. 4x^2 - 5^2
thus, 4x^2 = 5 + 25 = 30
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The answer is 30
(2x-5)(2x+5)=5
4x^2-25=5
4x^2=30
(2x-5)(2x+5)=5
4x^2-25=5
4x^2=30