Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^2+5x+6=0
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Equation 5x+12=8x+30
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Equation 81*x^3+18*x^2+x=0
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Equation x(x^2+2x+1)=6(x+1)
- Express {x} in terms of y where:
- -14*x-8*y=20
- 8*x+6*y=20
- -11*x-19*y=14
- -16*x+10*y=-11
- Derivative of:
- (x-1)/3
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Identical expressions
- (x- one)/ three =(y+ one)/ four
- (x minus 1) divide by 3 equally (y plus 1) divide by 4
- (x minus one) divide by three equally (y plus one) divide by four
- x-1/3=y+1/4
- (x-1) divide by 3=(y+1) divide by 4
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Similar expressions
- y+1/4+4*y-6/3-8-y/12=0
- (x-1)/3=(y-1)/4
- 6x-5/7=2x-1/3+2x1-x/21
- (x-1)/(2x+3)-(2x-1)/(3-2x)=0
- (x+1)/3=(y+1)/4
- 1/2x-1/3(9/4x+51)=2x+-1/2x+1
(x-1)/3=(y+1)/4 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 x)
from left part to right part, we given:
$$\frac{x}{3} = \frac{y}{4} + \frac{7}{12}$$
Divide both parts of the equation by 1/3
We get the answer: x = 7/4 + 3*y/4
(x-1)/3 = (y+1)/4
Expand brackets in the left part
x/3-1/3 = (y+1)/4
Expand brackets in the right part
x/3-1/3 = y/4+1/4
Move free summands (without x)
from left part to right part, we given:
$$\frac{x}{3} = \frac{y}{4} + \frac{7}{12}$$
Divide both parts of the equation by 1/3
x = 7/12 + y/4 / (1/3)
We get the answer: x = 7/4 + 3*y/4
The graph
Rapid solution
[src]
7 3*re(y) 3*I*im(y)
x1 = - + ------- + ---------
4 4 4
$$x_{1} = \frac{3 \operatorname{re}{\left(y\right)}}{4} + \frac{3 i \operatorname{im}{\left(y\right)}}{4} + \frac{7}{4}$$
x1 = 3*re(y)/4 + 3*i*im(y)/4 + 7/4
Sum and product of roots
[src]
sum
7 3*re(y) 3*I*im(y) - + ------- + --------- 4 4 4
$$\frac{3 \operatorname{re}{\left(y\right)}}{4} + \frac{3 i \operatorname{im}{\left(y\right)}}{4} + \frac{7}{4}$$
=
7 3*re(y) 3*I*im(y) - + ------- + --------- 4 4 4
$$\frac{3 \operatorname{re}{\left(y\right)}}{4} + \frac{3 i \operatorname{im}{\left(y\right)}}{4} + \frac{7}{4}$$
product
7 3*re(y) 3*I*im(y) - + ------- + --------- 4 4 4
$$\frac{3 \operatorname{re}{\left(y\right)}}{4} + \frac{3 i \operatorname{im}{\left(y\right)}}{4} + \frac{7}{4}$$
=
7 3*re(y) 3*I*im(y) - + ------- + --------- 4 4 4
$$\frac{3 \operatorname{re}{\left(y\right)}}{4} + \frac{3 i \operatorname{im}{\left(y\right)}}{4} + \frac{7}{4}$$
7/4 + 3*re(y)/4 + 3*i*im(y)/4