Question 537847
1.-6m^2 = -414
divide both sides by -6, this simplifies and changes the signs so we have:
m^2 = {{{(-414)/(-6)}}}
m^2 = +69
Find the square root of both sides
m = +/- {{{sqrt(69)}}}; not a perfect square so we can just leave like this
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2. 7x^2 = 21
Divide both sides by 7, leaves us with a simple equation
x^2 = 3
x = +/- {{{sqrt(3)}}}
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3. m^2 + 7 = 88
subtract 7 from both sides
m^2 = 88 - 7
m^2 = 81
m = +/- {{{sqrt(81)}}}
m = +/- 9
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4. -5x^2 = -500
Divide both sides by -5, simplifies and changes the signs, so we have:
x^2 = +100
x = +/- {{{sqrt(100)}}}
x = +/- 10
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5.-7n^2=-448
Divide both sides by -7
n^2 = +64
n = +/- {{{sqrt(64)}}}
n = +/- 8
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6.-2k^2 = -162
you should be catching on by now, divide by -2, and do as we did above
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7. x^2 - 5 = 73
add 5 to both sides
x^2 = 73 + 5
x^2 = 78
x = +/-{{{sqrt(78)}}}
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8. 16n^2=49
divide both sides by 16,
n^2 = {{{49/16}}}
find the square root of both sides
n = +/-{{{sqrt(49/16)}}}
note that we can find the square root of the numerator, 7; and denominator, 4
so we have:
n = +/- {{{7/4}}}
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Did this shed some light on this stuff? Let me know how you do, please. C
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