Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation cos(x)-1=0
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Equation (x+3)^4-4(x+3)^2-5=0
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Equation x^2+14*x+24=0
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Equation 0*x=10
- Express {x} in terms of y where:
- -16*x-19*y=-4
- -9*x+17*y=-3
- -3*x+4*y=-1
- -10*x-15*y=-11
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Identical expressions
- four *x2+ seven = seven + twenty-four *x
- 4 multiply by x2 plus 7 equally 7 plus 24 multiply by x
- four multiply by x2 plus seven equally seven plus twenty minus four multiply by x
- 4x2+7=7+24x
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Similar expressions
- 5x-4x^2+7=1
- 4*x2+7=7-24*x
- (x^2+4)*(x^2+7*x-18)=0
- x^3-4x^2+7x-3=0
- 4x^2+7x-11=0
- 4*x2-7=7+24*x
4*x2+7=7+24*x equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
Move free summands (without x)
from left part to right part, we given:
$$4 x_{2} = 24 x$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-24\right) x + 4 x_{2} = 0$$
Divide both parts of the equation by (-24*x + 4*x2)/x
We get the answer: x = x2/6
4*x2+7 = 7+24*x
Move free summands (without x)
from left part to right part, we given:
$$4 x_{2} = 24 x$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-24\right) x + 4 x_{2} = 0$$
Divide both parts of the equation by (-24*x + 4*x2)/x
x = 0 / ((-24*x + 4*x2)/x)
We get the answer: x = x2/6
The graph
Rapid solution
[src]
re(x2) I*im(x2)
x1 = ------ + --------
6 6
$$x_{1} = \frac{\operatorname{re}{\left(x_{2}\right)}}{6} + \frac{i \operatorname{im}{\left(x_{2}\right)}}{6}$$
x1 = re(x2)/6 + i*im(x2)/6
Sum and product of roots
[src]
sum
re(x2) I*im(x2) ------ + -------- 6 6
$$\frac{\operatorname{re}{\left(x_{2}\right)}}{6} + \frac{i \operatorname{im}{\left(x_{2}\right)}}{6}$$
=
re(x2) I*im(x2) ------ + -------- 6 6
$$\frac{\operatorname{re}{\left(x_{2}\right)}}{6} + \frac{i \operatorname{im}{\left(x_{2}\right)}}{6}$$
product
re(x2) I*im(x2) ------ + -------- 6 6
$$\frac{\operatorname{re}{\left(x_{2}\right)}}{6} + \frac{i \operatorname{im}{\left(x_{2}\right)}}{6}$$
=
re(x2) I*im(x2) ------ + -------- 6 6
$$\frac{\operatorname{re}{\left(x_{2}\right)}}{6} + \frac{i \operatorname{im}{\left(x_{2}\right)}}{6}$$
re(x2)/6 + i*im(x2)/6