Mister Exam
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- Equation:
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Equation 25*x^2=16
- Equation 3*x^2-48=0
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Equation x^2-5*x+7=0
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Equation x^2-20=0
- Express {x} in terms of y where:
- 18*x+17*y=-14
- -1*x-6*y=18
- 16*x-17*y=-15
- -4*x-4*y=19
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Identical expressions
- - two x^ two +x+ seven =-x^ two +5x+(- two -x^2)
- minus 2x squared plus x plus 7 equally minus x squared plus 5x plus ( minus 2 minus x squared )
- minus two x to the power of two plus x plus seven equally minus x to the power of two plus 5x plus ( minus two minus x squared )
- -2x2+x+7=-x2+5x+(-2-x2)
- -2x2+x+7=-x2+5x+-2-x2
- -2x²+x+7=-x²+5x+(-2-x²)
- -2x to the power of 2+x+7=-x to the power of 2+5x+(-2-x to the power of 2)
- -2x^2+x+7=-x^2+5x+-2-x^2
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Similar expressions
- -2x^2+x+7=-x^2+5x+(-2+x^2)
- -2x^2-x+7=-x^2+5x+(-2-x^2)
- -2x^2+x+7=-x^2+5x-(-2-x^2)
- -2x^2+x-7=-x^2+5x+(-2-x^2)
- -2x^2+x+7=-x^2-5x+(-2-x^2)
- -2x^2+x+7=-x^2+5x+(2-x^2)
- 2x^2+x+7=-x^2+5x+(-2-x^2)
- -2x^2+x+7=+x^2+5x+(-2-x^2)
-2x^2+x+7=-x^2+5x+(-2-x^2) equation
The teacher will be very surprised to see your correct solution 😉
The solution
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[src]
2 2 2 - 2*x + x + 7 = - x + 5*x + -2 - x
$$\left(- 2 x^{2} + x\right) + 7 = \left(- x^{2} - 2\right) + \left(- x^{2} + 5 x\right)$$
Detail solution
Given the linear equation:
Expand brackets in the right part
Looking for similar summands in the right part:
Move free summands (without x)
from left part to right part, we given:
$$- 2 x^{2} + x = - 2 x^{2} + 5 x - 9$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-2\right) x^{2} + \left(-4\right) x = \left(-2\right) x^{2} + -9$$
Divide both parts of the equation by (-4*x - 2*x^2)/x
We get the answer: x = 9/4
-2*x^2+x+7 = -x^2+5*x+(-2-x^2)
Expand brackets in the right part
-2*x^2+x+7 = -x^2+5*x+-2-x+2
Looking for similar summands in the right part:
7 + x - 2*x^2 = -2 - 2*x^2 + 5*x
Move free summands (without x)
from left part to right part, we given:
$$- 2 x^{2} + x = - 2 x^{2} + 5 x - 9$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-2\right) x^{2} + \left(-4\right) x = \left(-2\right) x^{2} + -9$$
Divide both parts of the equation by (-4*x - 2*x^2)/x
x = -9 - 2*x^2 / ((-4*x - 2*x^2)/x)
We get the answer: x = 9/4
Sum and product of roots
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sum
9/4
$$\frac{9}{4}$$
=
9/4
$$\frac{9}{4}$$
product
9/4
$$\frac{9}{4}$$
=
9/4
$$\frac{9}{4}$$
9/4
The graph