Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 4*x^2-25=0
- Equation x*sqrt(x-a)=sqrt(4*x^2-(4*a+2)*x+2*a)
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Equation x^3-3*x^2+3*x-1=0
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Equation x^2-2*x+10=0
- Express {x} in terms of y where:
- -5*x+10*y=-20
- 13*x+19*y=6
- 17*x+12*y=-15
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Identical expressions
- (sqrt(eighty-five)+2x-)= nine
- ( square root of (85) plus 2x minus ) equally 9
- ( square root of (eighty minus five) plus 2x minus ) equally nine
- (√(85)+2x-)=9
- sqrt85+2x-=9
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Similar expressions
- (sqrt(85)+2x+)=9
- (sqrt(85)-2x-)=9
(sqrt(85)+2x-)=9 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
Expand brackets in the left part
Divide both parts of the equation by (sqrt(85) + 2*x)/x
We get the answer: x = 9/2 - sqrt(85)/2
(sqrt(85)+2*x) = 9
Expand brackets in the left part
sqrt+85+2*x) = 9
Divide both parts of the equation by (sqrt(85) + 2*x)/x
x = 9 / ((sqrt(85) + 2*x)/x)
We get the answer: x = 9/2 - sqrt(85)/2
Sum and product of roots
[src]
sum
____ 9 \/ 85 - - ------ 2 2
$$\frac{9}{2} - \frac{\sqrt{85}}{2}$$
=
____ 9 \/ 85 - - ------ 2 2
$$\frac{9}{2} - \frac{\sqrt{85}}{2}$$
product
____ 9 \/ 85 - - ------ 2 2
$$\frac{9}{2} - \frac{\sqrt{85}}{2}$$
=
____ 9 \/ 85 - - ------ 2 2
$$\frac{9}{2} - \frac{\sqrt{85}}{2}$$
9/2 - sqrt(85)/2
Rapid solution
[src]
____
9 \/ 85
x1 = - - ------
2 2
$$x_{1} = \frac{9}{2} - \frac{\sqrt{85}}{2}$$
x1 = 9/2 - sqrt(85)/2