Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^2-7*x+10=0
-
Equation 5x^2-8x+3=0
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Equation 3/5*y=29/10-1/5
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Equation -12x+11=-(2-x)
- Express {x} in terms of y where:
- 12*x-20*y=9
- -3*x-10*y=1
- -11*x+16*y=3
- 11*x-6*y=5
- Integral of d{x}:
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12
- Canonical form:
- 12
- Derivative of:
- 12
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Identical expressions
- (x- three)^ two -(x+ one)^ two = twelve
- (x minus 3) squared minus (x plus 1) squared equally 12
- (x minus three) to the power of two minus (x plus one) to the power of two equally twelve
- (x-3)2-(x+1)2=12
- x-32-x+12=12
- (x-3)²-(x+1)²=12
- (x-3) to the power of 2-(x+1) to the power of 2=12
- x-3^2-x+1^2=12
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Similar expressions
- (x-3)^2+(x+1)^2=12
- (x+3)^2-(x+1)^2=12
- (x-3)^2-(x-1)^2=12
(x-3)^2-(x+1)^2=12 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
2 2 (x - 3) - (x + 1) = 12
$$\left(x - 3\right)^{2} - \left(x + 1\right)^{2} = 12$$
Detail solution
Given the equation:
Expand expressions:
Reducing, you get:
Move free summands (without x)
from left part to right part, we given:
$$- 8 x = 4$$
Divide both parts of the equation by -8
We get the answer: x = -1/2
(x-3)^2-(x+1)^2 = 12
Expand expressions:
9 + x^2 - 6*x - (x + 1)^2 = 12
9 + x^2 - 6*x - 1 - x^2 - 2*x = 12
Reducing, you get:
-4 - 8*x = 0
Move free summands (without x)
from left part to right part, we given:
$$- 8 x = 4$$
Divide both parts of the equation by -8
x = 4 / (-8)
We get the answer: x = -1/2
Sum and product of roots
[src]
sum
-1/2
$$- \frac{1}{2}$$
=
-1/2
$$- \frac{1}{2}$$
product
-1/2
$$- \frac{1}{2}$$
=
-1/2
$$- \frac{1}{2}$$
-1/2
The graph