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/4+x=-5
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Equation x^2+x-30=0
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Equation x^4=(2x-3)^2
- Express {x} in terms of y where:
- -17*x-12*y=-9
- -6*x+1*y=-5
- -1*x-6*y=18
- -4*x-4*y=19
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Identical expressions
- (x- one)^ three -x^ two *(x- four)-(x+ two)*(x- two)= zero
- (x minus 1) cubed minus x squared multiply by (x minus 4) minus (x plus 2) multiply by (x minus 2) equally 0
- (x minus one) to the power of three minus x to the power of two multiply by (x minus four) minus (x plus two) multiply by (x minus two) equally zero
- (x-1)3-x2*(x-4)-(x+2)*(x-2)=0
- x-13-x2*x-4-x+2*x-2=0
- (x-1)³-x²*(x-4)-(x+2)*(x-2)=0
- (x-1) to the power of 3-x to the power of 2*(x-4)-(x+2)*(x-2)=0
- (x-1)^3-x^2(x-4)-(x+2)(x-2)=0
- (x-1)3-x2(x-4)-(x+2)(x-2)=0
- x-13-x2x-4-x+2x-2=0
- x-1^3-x^2x-4-x+2x-2=0
- (x-1)^3-x^2*(x-4)-(x+2)*(x-2)=O
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Similar expressions
- (x-1)^3+x^2*(x-4)-(x+2)*(x-2)=0
- (x+1)^3-x^2*(x-4)-(x+2)*(x-2)=0
- (x-1)^3-x^2*(x-4)+(x+2)*(x-2)=0
- (x-1)^3-x^2*(x+4)-(x+2)*(x-2)=0
- (x-1)^3-x^2*(x-4)-(x+2)*(x+2)=0
- (x-1)^3-x^2*(x-4)-(x-2)*(x-2)=0
(x-1)^3-x^2*(x-4)-(x+2)*(x-2)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
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[src]
3 2 (x - 1) - x *(x - 4) - (x + 2)*(x - 2) = 0
$$- x^{2} \left(x - 4\right) - \left(x + 2\right) \left(x - 2\right) + \left(x - 1\right)^{3} = 0$$
Detail solution
Given the equation:
Expand expressions:
Reducing, you get:
Move free summands (without x)
from left part to right part, we given:
$$3 x = -3$$
Divide both parts of the equation by 3
We get the answer: x = -1
(x-1)^3-x^2*(x-4)-(x+2)*(x-2) = 0
Expand expressions:
- 1 + x^3 - 3*x^2 + 3*x - x^2*(x - 1*4) - (x + 2)*(x - 1*2) = 0
- 1 + x^3 - 3*x^2 + 3*x - x^3 + 4*x^2 - (x + 2)*(x - 1*2) = 0
- 1 + x^3 - 3*x^2 + 3*x - x^3 + 4*x^2 + 4 - x^2 = 0
Reducing, you get:
3 + 3*x = 0
Move free summands (without x)
from left part to right part, we given:
$$3 x = -3$$
Divide both parts of the equation by 3
x = -3 / (3)
We get the answer: x = -1
Sum and product of roots
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sum
0 - 1
$$-1 + 0$$
=
-1
$$-1$$
product
1*-1
$$1 \left(-1\right)$$
=
-1
$$-1$$
-1
The graph