Mister Exam
Other calculators
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How to use it?
- Equation:
- Equation (a-2)(b+5)=(a-2)b+(a-2)5
-
Equation x^2-x-7=0
- Equation (x^2+a)/x+x/(x^2+a)=-5/2
-
Equation x^2-6x+13=0
- Express {x} in terms of y where:
- -8*x-2*y=-11
- 19*x-20*y=-7
- -3*x+1*y=3
- -5*x-20*y=-3
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Identical expressions
- (sqrt(five)-(five / two))*(three - two *x)= zero
- ( square root of (5) minus (5 divide by 2)) multiply by (3 minus 2 multiply by x) equally 0
- ( square root of (five) minus (five divide by two)) multiply by (three minus two multiply by x) equally zero
- (√(5)-(5/2))*(3-2*x)=0
- (sqrt(5)-(5/2))(3-2x)=0
- sqrt5-5/23-2x=0
- (sqrt(5)-(5/2))*(3-2*x)=O
- (sqrt(5)-(5 divide by 2))*(3-2*x)=0
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Similar expressions
- (sqrt(5)-(5/2))*(3+2*x)=0
- (sqrt(5)+(5/2))*(3-2*x)=0
(sqrt(5)-(5/2))*(3-2*x)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
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/ ___ 5\ |\/ 5 - -|*(3 - 2*x) = 0 \ 2/
$$\left(- \frac{5}{2} + \sqrt{5}\right) \left(3 - 2 x\right) = 0$$
Detail solution
Given the equation:
Expand expressions:
Reducing, you get:
Expand brackets in the left part
Move free summands (without x)
from left part to right part, we given:
$$- 2 \sqrt{5} x + 5 x + 3 \sqrt{5} = \frac{15}{2}$$
Divide both parts of the equation by (3*sqrt(5) + 5*x - 2*x*sqrt(5))/x
We get the answer: x = 3/2
(sqrt(5)-(5/2))*(3-2*x) = 0
Expand expressions:
-15/2 + 3*sqrt(5) + 5*x - 2*x*sqrt(5) = 0
Reducing, you get:
-15/2 + 3*sqrt(5) + 5*x - 2*x*sqrt(5) = 0
Expand brackets in the left part
-15/2 + 3*sqrt5 + 5*x - 2*x*sqrt5 = 0
Move free summands (without x)
from left part to right part, we given:
$$- 2 \sqrt{5} x + 5 x + 3 \sqrt{5} = \frac{15}{2}$$
Divide both parts of the equation by (3*sqrt(5) + 5*x - 2*x*sqrt(5))/x
x = 15/2 / ((3*sqrt(5) + 5*x - 2*x*sqrt(5))/x)
We get the answer: x = 3/2
Sum and product of roots
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sum
3/2
$$\frac{3}{2}$$
=
3/2
$$\frac{3}{2}$$
product
3/2
$$\frac{3}{2}$$
=
3/2
$$\frac{3}{2}$$
3/2