Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 10/(x+6)=1
-
Equation x^6=-64
-
Equation sin(5*x)=-1
-
Equation 5(x-7)=-3
- Express {x} in terms of y where:
- -5*x-13*y=-2
- -6*x-14*y=17
- -11*x-3*y=-1
- 16*x+7*y=-9
-
Identical expressions
- (x+ one)(3x- six)= zero
- (x plus 1)(3x minus 6) equally 0
- (x plus one)(3x minus six) equally zero
- x+13x-6=0
- (x+1)(3x-6)=O
-
Similar expressions
- (x-1)(3x-6)=0
- (5x+1)*(3x-6)-15x^2=75
- (x+1)(3x+6)=0
(x+1)(3x-6)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Expand the expression in the equation
$$\left(x + 1\right) \left(3 x - 6\right) = 0$$
We get the quadratic equation
$$3 x^{2} - 3 x - 6 = 0$$
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
$$a = 3$$
$$b = -3$$
$$c = -6$$
, then
Because D > 0, then the equation has two roots.
or
$$x_{1} = 2$$
$$x_{2} = -1$$
$$\left(x + 1\right) \left(3 x - 6\right) = 0$$
We get the quadratic equation
$$3 x^{2} - 3 x - 6 = 0$$
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
$$a = 3$$
$$b = -3$$
$$c = -6$$
, then
D = b^2 - 4 * a * c =
(-3)^2 - 4 * (3) * (-6) = 81
Because D > 0, then the equation has two roots.
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
or
$$x_{1} = 2$$
$$x_{2} = -1$$
The graph