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How to solve the equation g(x)=-5 for x if g(x)=-.5x^2+x+4

Says there's 2 possible solutions 

 Jan 21, 2017
 #1
avatar+128460 
+5

- 5  = -.5x^2+x+4   multiply through by -2

 

10  = x^2 - 2x - 8    subtract 10 from both sides

 

0 = x^2 - 2x - 18   using the quad formula, the solutions  are

 

x =  1 - √19     and     x =  1 + √19 

 

 

cool cool cool

 Jan 21, 2017
 #2
avatar+14913 
0

How to solve the equation g(x)=-5 for x if g(x)=-.5x^2+x+4 {nl} Says there's 2 possible solutions

 

\(-5=-0.5x^2+x+4\)

 

\(-0.5x^2+x+9=0\)

a        b       c

 

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)    

 

\(\large x = {-1 \pm \sqrt{1+4*0.5*9} \over -1}\)

 

 \(\large x=\frac{-1\pm\sqrt{19}}{-1}\)

 

\(x_1=1-\sqrt{19}=-3.3588989\)

 

\(x_2=1+\sqrt{19}=5.3588989\) 

 

laugh  !

 Jan 21, 2017
edited by asinus  Jan 21, 2017

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