Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x+12=5
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Equation x^3=4
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Equation 0,144:(3,4-x)=2,4
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Equation x^4=(x-56)^2
- Express {x} in terms of y where:
- 15*x-5*y=-5
- 18*x+20*y=-2
- -5*x-6*y=-1
- -17*x-15*y=-17
- Derivative of:
- 16-4*x^2
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Identical expressions
- (x^ two - seven *x- eleven)-(five *x^ two - thirteen *x- eighteen)= sixteen - four *x^ two
- (x squared minus 7 multiply by x minus 11) minus (5 multiply by x squared minus 13 multiply by x minus 18) equally 16 minus 4 multiply by x squared
- (x to the power of two minus seven multiply by x minus eleven) minus (five multiply by x to the power of two minus thirteen multiply by x minus eighteen) equally sixteen minus four multiply by x to the power of two
- (x2-7*x-11)-(5*x2-13*x-18)=16-4*x2
- x2-7*x-11-5*x2-13*x-18=16-4*x2
- (x²-7*x-11)-(5*x²-13*x-18)=16-4*x²
- (x to the power of 2-7*x-11)-(5*x to the power of 2-13*x-18)=16-4*x to the power of 2
- (x^2-7x-11)-(5x^2-13x-18)=16-4x^2
- (x2-7x-11)-(5x2-13x-18)=16-4x2
- x2-7x-11-5x2-13x-18=16-4x2
- x^2-7x-11-5x^2-13x-18=16-4x^2
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Similar expressions
- (x^2-7*x+11)-(5*x^2-13*x-18)=16-4*x^2
- (x^2+7*x-11)-(5*x^2-13*x-18)=16-4*x^2
- (x^2-7*x-11)+(5*x^2-13*x-18)=16-4*x^2
- (x^2-7*x-11)-(5*x^2-13*x-18)=16+4*x^2
- (x^2-7*x-11)-(5*x^2-13*x+18)=16-4*x^2
- (x^2-7*x-11)-(5*x^2+13*x-18)=16-4*x^2
(x^2-7*x-11)-(5*x^2-13*x-18)=16-4*x^2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
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2 2 2 x - 7*x - 11 + - 5*x + 13*x + 18 = 16 - 4*x
$$\left(\left(- 5 x^{2} + 13 x\right) + 18\right) + \left(\left(x^{2} - 7 x\right) - 11\right) = 16 - 4 x^{2}$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Looking for similar summands in the left part:
Move free summands (without x)
from left part to right part, we given:
$$- 4 x^{2} + 6 x = 9 - 4 x^{2}$$
Divide both parts of the equation by (-4*x^2 + 6*x)/x
We get the answer: x = 3/2
(x^2-7*x-11)-(5*x^2-13*x-18) = 16-4*x^2
Expand brackets in the left part
x+2-7*x-11-5*x-2+13*x+18 = 16-4*x^2
Looking for similar summands in the left part:
7 - 4*x^2 + 6*x = 16-4*x^2
Move free summands (without x)
from left part to right part, we given:
$$- 4 x^{2} + 6 x = 9 - 4 x^{2}$$
Divide both parts of the equation by (-4*x^2 + 6*x)/x
x = 9 - 4*x^2 / ((-4*x^2 + 6*x)/x)
We get the answer: x = 3/2
Sum and product of roots
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sum
3/2
$$\frac{3}{2}$$
=
3/2
$$\frac{3}{2}$$
product
3/2
$$\frac{3}{2}$$
=
3/2
$$\frac{3}{2}$$
3/2