Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation (x-3)*(x+4)=0
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Equation x^3-x^2-5=0
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Equation x-2(3x+2)=16
- Equation x^2-1=1+(1/2)*y
- Express {x} in terms of y where:
- -10*x+16*y=-6
- -13*x+9*y=1
- -10*x+9*y=-6
- -17*x+13*y=-3
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Identical expressions
- (x- six)/(x- nine)= five
- (x minus 6) divide by (x minus 9) equally 5
- (x minus six) divide by (x minus nine) equally five
- x-6/x-9=5
- (x-6) divide by (x-9)=5
-
Similar expressions
- (x+6)/(x-9)=5
- (x-6)/(x+9)=5
(x-6)/(x-9)=5 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$\frac{x - 6}{x - 9} = 5$$
Multiply the equation sides by the denominator -9 + x
we get:
$$x - 6 = 5 x - 45$$
Move free summands (without x)
from left part to right part, we given:
$$x = 5 x - 39$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-4\right) x = -39$$
Divide both parts of the equation by -4
We get the answer: x = 39/4
$$\frac{x - 6}{x - 9} = 5$$
Multiply the equation sides by the denominator -9 + x
we get:
$$x - 6 = 5 x - 45$$
Move free summands (without x)
from left part to right part, we given:
$$x = 5 x - 39$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-4\right) x = -39$$
Divide both parts of the equation by -4
x = -39 / (-4)
We get the answer: x = 39/4
Sum and product of roots
[src]
sum
39/4
$$\frac{39}{4}$$
=
39/4
$$\frac{39}{4}$$
product
39/4
$$\frac{39}{4}$$
=
39/4
$$\frac{39}{4}$$
39/4