completed question:Rearrange this expression into quadratic form, a x 2 + b x + c = 0 , and identify the values of a , b , and c .
[tex]0.2=\frac{x^{2} }{85-x}[/tex]
Answer:
a=5, b=1, c=-85
Step-by-step explanation:
[tex]0.2=\frac{x^{2} }{85-x}[/tex]
0.2(85-x) =[tex]{x^{2}[/tex]
17-0.2x=[tex]{x^{2}[/tex]
[tex]{x^{2}[/tex]=17-0.2x
[tex]{x^{2}[/tex]+0.2x-17=0
multiply through by 5
[tex]{5x^{2}[/tex]+x-85=0
comparing this equation to the general quadratic equation;
[tex]{a^{2}[/tex]+bx+c=0
a=5, b=1, c=-85
