Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation (x+1)+(x+3)=5
-
Equation x^6=1
-
Equation -x^3+4*x^2+4*x-16=0
-
Equation x/7=6
- Express {x} in terms of y where:
- -15*x+13*y=-1
- -3*x-5*y=-7
- 13*x-17*y=-13
- 9*x-16*y=14
- Limit of the function:
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x2
- Derivative of:
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x2
- Graphing y =:
- x2
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Identical expressions
- x2= ten *x+ five *x2- one
- x2 equally 10 multiply by x plus 5 multiply by x2 minus 1
- x2 equally ten multiply by x plus five multiply by x2 minus one
- x2=10x+5x2-1
-
Similar expressions
- 2,14*x^2-44,95*x+22,8=0
- x^2-15*x+54=0
- x*215-4936=63219
- x2=10*x+5*x2+1
- x2=10*x-5*x2-1
- (x^2+9)^3=0
- -x^3+4*x^2+4*x-16=0
x2=10*x+5*x2-1 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
Looking for similar summands in the right part:
Move the summands with the unknown x
from the right part to the left part:
$$- 4 x_{2} = 10 x - 1$$
Divide both parts of the equation by -4*x2/x
We get the answer: x = 1/10 - 2*x2/5
x2 = 10*x+5*x2-1
Looking for similar summands in the right part:
x2 = -1 + 5*x2 + 10*x
Move the summands with the unknown x
from the right part to the left part:
$$- 4 x_{2} = 10 x - 1$$
Divide both parts of the equation by -4*x2/x
x = -1 + 10*x / (-4*x2/x)
We get the answer: x = 1/10 - 2*x2/5
The graph
Rapid solution
[src]
1 2*re(x2) 2*I*im(x2)
x1 = -- - -------- - ----------
10 5 5
$$x_{1} = - \frac{2 \operatorname{re}{\left(x_{2}\right)}}{5} - \frac{2 i \operatorname{im}{\left(x_{2}\right)}}{5} + \frac{1}{10}$$
x1 = -2*re(x2)/5 - 2*i*im(x2)/5 + 1/10
Sum and product of roots
[src]
sum
1 2*re(x2) 2*I*im(x2) -- - -------- - ---------- 10 5 5
$$- \frac{2 \operatorname{re}{\left(x_{2}\right)}}{5} - \frac{2 i \operatorname{im}{\left(x_{2}\right)}}{5} + \frac{1}{10}$$
=
1 2*re(x2) 2*I*im(x2) -- - -------- - ---------- 10 5 5
$$- \frac{2 \operatorname{re}{\left(x_{2}\right)}}{5} - \frac{2 i \operatorname{im}{\left(x_{2}\right)}}{5} + \frac{1}{10}$$
product
1 2*re(x2) 2*I*im(x2) -- - -------- - ---------- 10 5 5
$$- \frac{2 \operatorname{re}{\left(x_{2}\right)}}{5} - \frac{2 i \operatorname{im}{\left(x_{2}\right)}}{5} + \frac{1}{10}$$
=
1 2*re(x2) 2*I*im(x2) -- - -------- - ---------- 10 5 5
$$- \frac{2 \operatorname{re}{\left(x_{2}\right)}}{5} - \frac{2 i \operatorname{im}{\left(x_{2}\right)}}{5} + \frac{1}{10}$$
1/10 - 2*re(x2)/5 - 2*i*im(x2)/5