# S²+4s-21=04x²-32x=28r²-10r=-17m²+7m-=0please show your solutions.i need it right now.im so stress because of that.HUHUHU.

2
by Trista
for the 2nd item, is it really =28? and not = -28?
yes it's just 28

2014-06-28T11:22:01+08:00

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Phewww! That was hard but fun! :D Hope that helps ^_^
2014-06-28T12:20:12+08:00

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S² + 4s - 21 = 0
(s+7) (s-3) = 0
s+7=0  ;  s-3=0
s = -7  ;  s = 3

4x² - 32x = 28
x² - 8x = 7
x² - 8x + 16 = 7 + 16
(x-4)² = 23
√(x-4)² = √23
x - 4 = ±√23
x = ±√23 +4
x = √23 +4    ;   x = -√23 +4

r² - 10r = -17
r² - 10r + 25 = -17 + 25
(r-5)² = 8
√(r-5)² = √8
r-5 = ±√8
r = ±2√2 +5
r = 2√2 +5   ;   r = -2√2 +5

m² +7m - 51/9 = 0
m² +7m = 17/3
m² +7m + (7/2}² = 17/3 + (7/2}²
√(m+7/2)² = √(215/12)
m + 7/2 = ± √(645)/ 6
m =     ;    m =  -\frac{ \sqrt{645} }{6} +  \frac{7}{2}