Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation (x-4)^2-x^2=0
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Equation 1/(x-2)^2-1/(x-2)-6=0
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Equation 25x^2-1=0
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Equation x^2+4x+4=0
- Express {x} in terms of y where:
- 10*x-15*y=16
- -1*x-17*y=-12
- 14*x-16*y=19
- 18*x+1*y=-11
- Graphing y =:
- x^2+4x+4
- Integral of d{x}:
-
x^2+4x+4
-
Identical expressions
- x^ two + four x+4= zero
- x squared plus 4x plus 4 equally 0
- x to the power of two plus four x plus 4 equally zero
- x2+4x+4=0
- x²+4x+4=0
- x to the power of 2+4x+4=0
- x^2+4x+4=O
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Similar expressions
- x^2-4x+4=0
- x^2+4x-4=0
x^2+4x+4=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
This equation is of the form
A quadratic equation can be solved
using the discriminant.
The roots of the quadratic equation:
$$x_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$x_{2} = \frac{- \sqrt{D} - b}{2 a}$$
where D = b^2 - 4*a*c - it is the discriminant.
Because
$$a = 1$$
$$b = 4$$
$$c = 4$$
, then
Because D = 0, then the equation has one root.
$$x_{1} = -2$$
a*x^2 + b*x + c = 0
A quadratic equation can be solved
using the discriminant.
The roots of the quadratic equation:
$$x_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$x_{2} = \frac{- \sqrt{D} - b}{2 a}$$
where D = b^2 - 4*a*c - it is the discriminant.
Because
$$a = 1$$
$$b = 4$$
$$c = 4$$
, then
D = b^2 - 4 * a * c =
(4)^2 - 4 * (1) * (4) = 0
Because D = 0, then the equation has one root.
x = -b/2a = -4/2/(1)
$$x_{1} = -2$$
Vieta's Theorem
it is reduced quadratic equation
$$p x + q + x^{2} = 0$$
where
$$p = \frac{b}{a}$$
$$p = 4$$
$$q = \frac{c}{a}$$
$$q = 4$$
Vieta Formulas
$$x_{1} + x_{2} = - p$$
$$x_{1} x_{2} = q$$
$$x_{1} + x_{2} = -4$$
$$x_{1} x_{2} = 4$$
$$p x + q + x^{2} = 0$$
where
$$p = \frac{b}{a}$$
$$p = 4$$
$$q = \frac{c}{a}$$
$$q = 4$$
Vieta Formulas
$$x_{1} + x_{2} = - p$$
$$x_{1} x_{2} = q$$
$$x_{1} + x_{2} = -4$$
$$x_{1} x_{2} = 4$$
The graph