Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 6x-19=-x-10
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Equation x^2+4=5x
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Equation cos(x)-sin(x)=1
- Express {x} in terms of y where:
- 18*x+12*y=18
- -6*x+12*y=11
- -2*x+20*y=-2
- 5*x+19*y=-3
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Identical expressions
- (6x- thirty-six)*(x+ eleven)= zero
- (6x minus 36) multiply by (x plus 11) equally 0
- (6x minus thirty minus six) multiply by (x plus eleven) equally zero
- (6x-36)(x+11)=0
- 6x-36x+11=0
- (6x-36)*(x+11)=O
-
Similar expressions
- (6x+36)*(x+11)=0
- (6x-36)*(x-11)=0
(6x-36)*(x+11)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Expand the expression in the equation
$$\left(x + 11\right) \left(6 x - 36\right) = 0$$
We get the quadratic equation
$$6 x^{2} + 30 x - 396 = 0$$
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
$$a = 6$$
$$b = 30$$
$$c = -396$$
, then
Because D > 0, then the equation has two roots.
or
$$x_{1} = 6$$
$$x_{2} = -11$$
$$\left(x + 11\right) \left(6 x - 36\right) = 0$$
We get the quadratic equation
$$6 x^{2} + 30 x - 396 = 0$$
This equation is of the form
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
$$a = 6$$
$$b = 30$$
$$c = -396$$
, then
D = b^2 - 4 * a * c =
(30)^2 - 4 * (6) * (-396) = 10404
Because D > 0, then the equation has two roots.
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
or
$$x_{1} = 6$$
$$x_{2} = -11$$
Sum and product of roots
[src]
sum
-11 + 6
$$-11 + 6$$
=
-5
$$-5$$
product
-11*6
$$- 66$$
=
-66
$$-66$$
-66