Eq2 equations

For each of the following problems, determine the roots of the equation. Given the roots, sketch the graph and explain how your sketch matches the roots given and the form of the equation:
g(x)=36x2-12x+5
h(x)=x2-4x+20
f(x)=4x2-24x+45
p(x)=9x2-36x+40
g(x)=x2-2x+10
g(x)=x2-x-6

Correct answer:

g1 =  0
g2 =  0
h1 =  0
h2 =  0

Step-by-step explanation:

g(x)=36x212x+5  36g212g+5  36g212g+5=0  a=36;b=12;c=5 D=b24ac=1224365=576 D<0  g1,2=b±D2a=12±57672=12±24172 g1,2=12±24i72 g1,2=0.16666667±0.333333333333g1=0.16666667+0.333333333333g2=0.166666670.333333333333  Factored form of the equation:  36(g0.166666670.333333333333i)(g0.16666667+0.333333333333i)=0  g1=0=0 g2=0

Our quadratic equation calculator calculates it.

h(x)=x24x+20 h24h+20  h24 h+20 h24h+20=0  a=1;b=4;c=20 D=b24ac=424120=64 D<0  h1,2=b±D2a=4±642=4±812 h1,2=4±8i2 h1,2=2±4h1=2+4h2=24  Factored form of the equation:  h1=(h24i)(h2+4i)=0=0

Our quadratic equation calculator calculates it.




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