Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation (x+3)^2=4
-
Equation 2*x^2-18=0
-
Equation 3*x-7/8-x-3/6=1
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Equation 5-x^2=0
- Express {x} in terms of y where:
- 13*x+3*y=6
- 7*x-18*y=-4
- -2*x+13*y=-6
- -17*x+11*y=-1
- Graphing y =:
- (x-8)/(x+2)
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Identical expressions
- (x- eight)/(x+ two)= seven / three
- (x minus 8) divide by (x plus 2) equally 7 divide by 3
- (x minus eight) divide by (x plus two) equally seven divide by three
- x-8/x+2=7/3
- (x-8) divide by (x+2)=7 divide by 3
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Similar expressions
- cos*((pi*(x-7))/3)=1/2
- (x-8)/(x-2)=7/3
- x-8/(x+2)=7/3
- (x+8)/(x+2)=7/3
- cos((pi*(x-7))/3)=1/2
- -(4-x)^2/(x+2)^2+(2*x-8)/(x+2)=0
- Cos(pi*(x-7)/3)=0.5
(x-8)/(x+2)=7/3 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$\frac{x - 8}{x + 2} = \frac{7}{3}$$
Multiply the equation sides by the denominator 2 + x
we get:
$$x - 8 = \frac{7 x}{3} + \frac{14}{3}$$
Move free summands (without x)
from left part to right part, we given:
$$x = \frac{7 x}{3} + \frac{38}{3}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-4\right) x}{3} = \frac{38}{3}$$
Divide both parts of the equation by -4/3
We get the answer: x = -19/2
$$\frac{x - 8}{x + 2} = \frac{7}{3}$$
Multiply the equation sides by the denominator 2 + x
we get:
$$x - 8 = \frac{7 x}{3} + \frac{14}{3}$$
Move free summands (without x)
from left part to right part, we given:
$$x = \frac{7 x}{3} + \frac{38}{3}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-4\right) x}{3} = \frac{38}{3}$$
Divide both parts of the equation by -4/3
x = 38/3 / (-4/3)
We get the answer: x = -19/2
Sum and product of roots
[src]
sum
-19/2
$$- \frac{19}{2}$$
=
-19/2
$$- \frac{19}{2}$$
product
-19/2
$$- \frac{19}{2}$$
=
-19/2
$$- \frac{19}{2}$$
-19/2
The graph