SOLUTION: solve the following equations for x. A) (x)(x)/(0.500-x) = 8.30 B) 2.94=(2.00 x)2/(0.200-x) C) x2/0.20+x)(0.030+x) = 2.00 D) 4.00x2/(0.100-x)(0.200-x) = 1.45

Question 336529: solve the following equations for x.
A)
(x)(x)/(0.500-x) = 8.30
B)
2.94=(2.00 x)2/(0.200-x)
C)
x2/0.20+x)(0.030+x) = 2.00
D)
4.00x2/(0.100-x)(0.200-x) = 1.45
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
(x)(x)/(0.500-x) = 8.30
x^2/(.5-x)=8.3
x^2=8.3(.5-x)
x^2=4.15-8.3x
x^2+8.3x-4.15=0
x=-8.773..., x=0.4730... (see below)
.
Ed
.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=85.49 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.473040125285524, -8.77304012528553. Here's your graph:

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