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=2ab±D=7212±576=7212±241 g1,2=7212±24i g1,2=0.16666667±0.33333333333333i g1=0.16666667+0.33333333333333i g2=0.166666670.33333333333333i   Factored form of the equation:  36(g0.166666670.33333333333333i)(g0.16666667+0.33333333333333i)=0  g1=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=2ab±D=24±64=24±81 h1,2=24±8i h1,2=2±4i h1=2+4i h2=24i   Factored form of the equation:  h1=(h24i)(h2+4i)=0

Our quadratic equation calculator calculates it.




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