Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^2-8*x+17=0
- Equation x^2-y^2=0
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Equation x+19=12
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Equation 4*(x-3)=x+6
- Express {x} in terms of y where:
- 7*x+19*y=12
- 11*x-20*y=-10
- 18*x-11*y=2
- -7*x-13*y=5
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Identical expressions
- (k- three)/ four =(three k-3)/ eleven
- (k minus 3) divide by 4 equally (3k minus 3) divide by 11
- (k minus three) divide by four equally (three k minus 3) divide by eleven
- k-3/4=3k-3/11
- (k-3) divide by 4=(3k-3) divide by 11
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Similar expressions
- (k-3)/4=(3k+3)/11
- (k+3)/4=(3k-3)/11
(k-3)/4=(3k-3)/11 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Move free summands (without k)
from left part to right part, we given:
$$\frac{k}{4} = \frac{3 k}{11} + \frac{21}{44}$$
Move the summands with the unknown k
from the right part to the left part:
$$- \frac{k}{44} = \frac{21}{44}$$
Divide both parts of the equation by -1/44
We get the answer: k = -21
(k-3)/4 = (3*k-3)/11
Expand brackets in the left part
k/4-3/4 = (3*k-3)/11
Expand brackets in the right part
k/4-3/4 = 3*k/11-3/11
Move free summands (without k)
from left part to right part, we given:
$$\frac{k}{4} = \frac{3 k}{11} + \frac{21}{44}$$
Move the summands with the unknown k
from the right part to the left part:
$$- \frac{k}{44} = \frac{21}{44}$$
Divide both parts of the equation by -1/44
k = 21/44 / (-1/44)
We get the answer: k = -21
Sum and product of roots
[src]
sum
-21
$$\left(-21\right)$$
=
-21
$$-21$$
product
-21
$$\left(-21\right)$$
=
-21
$$-21$$
The graph