Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation (x-11)/(x-6)=11/16
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Equation x^2-4x+6=0
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Equation 5*x=12
-
Equation 2*sin(x)*cos(x)=0
- Express {x} in terms of y where:
- -20*x-7*y=-17
- -16*x-9*y=-5
- -8*x-11*y=1
- -7*x-16*y=8
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Identical expressions
- (thirty-eight - six *x)^ two = zero
- (38 minus 6 multiply by x) squared equally 0
- (thirty minus eight minus six multiply by x) to the power of two equally zero
- (38-6*x)2=0
- 38-6*x2=0
- (38-6*x)²=0
- (38-6*x) to the power of 2=0
- (38-6x)^2=0
- (38-6x)2=0
- 38-6x2=0
- 38-6x^2=0
- (38-6*x)^2=O
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Similar expressions
- (38+6*x)^2=0
(38-6*x)^2=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Expand the expression in the equation
$$\left(38 - 6 x\right)^{2} = 0$$
We get the quadratic equation
$$36 x^{2} - 456 x + 1444 = 0$$
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
$$a = 36$$
$$b = -456$$
$$c = 1444$$
, then
Because D = 0, then the equation has one root.
$$x_{1} = \frac{19}{3}$$
$$\left(38 - 6 x\right)^{2} = 0$$
We get the quadratic equation
$$36 x^{2} - 456 x + 1444 = 0$$
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
$$a = 36$$
$$b = -456$$
$$c = 1444$$
, then
D = b^2 - 4 * a * c =
(-456)^2 - 4 * (36) * (1444) = 0
Because D = 0, then the equation has one root.
x = -b/2a = --456/2/(36)
$$x_{1} = \frac{19}{3}$$
Sum and product of roots
[src]
sum
19/3
$$\frac{19}{3}$$
=
19/3
$$\frac{19}{3}$$
product
19/3
$$\frac{19}{3}$$
=
19/3
$$\frac{19}{3}$$
19/3