Question 85785
A. Is the following binomial a difference of squares?
9a^2 – 8b^2
No; The coefficient of b^2, (8) is not a perfect square
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B. If one-half a number is subtracted from five-sixths of the number, the difference is 6. Find the number
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Let x = the number, then just write what it says:
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"If one-half a number is subtracted from five-sixths of the number, the difference is 6."
{{{(5/6)x}}} - {{{(1/2)x}}} = 6
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Get rid of the denominator, mult equation by 6
{{{(6)(5/6)x}}} - {{{(6)(1/2)x}}} = (6)6
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leave you with:
5x - 3(1x) = 36
5x - 3x = 36
2x = 36
x = 36/2
x = 18
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Check solution of x = 18:
{{{(5/6)18}}} - {{{(1/2)18}}} = 6
15 - 9 = 6