Mister Exam
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- Equation:
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Equation x^2-2x-15=0
- Equation x^4-29x^2+100=0
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Equation 8-5(8+3x)=13
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Equation sqrt((3x+2)/(2x-3))+sqrt((2x-3)/(3x+2))=2,5
- Express {x} in terms of y where:
- 5*x+5*y=20
- 4*x-16*y=6
- sqrt(x^2+y^2+4x-6y-12)+(x^2+10x-27)=8-|y-9|+|y-3|
- 10*x-1*y=10
- Derivative of:
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2,5
- Integral of d{x}:
- 2,5
- Sum of series:
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2,5
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Identical expressions
- sqrt((three x+ two)/(two x- three))+sqrt((two x-3)/(3x+2))=2, five
- square root of ((3x plus 2) divide by (2x minus 3)) plus square root of ((2x minus 3) divide by (3x plus 2)) equally 2,5
- square root of ((three x plus two) divide by (two x minus three)) plus square root of ((two x minus 3) divide by (3x plus 2)) equally 2, five
- √((3x+2)/(2x-3))+√((2x-3)/(3x+2))=2,5
- sqrt3x+2/2x-3+sqrt2x-3/3x+2=2,5
- sqrt((3x+2) divide by (2x-3))+sqrt((2x-3) divide by (3x+2))=2,5
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Similar expressions
- sqrt((3x+2)/(2x+3))+sqrt((2x-3)/(3x+2))=2,5
- sqrt((3x+2)/(2x-3))+sqrt((2x-3)/(3x-2))=2,5
- sqrt((3x+2)/(2x-3))-sqrt((2x-3)/(3x+2))=2,5
- sqrt((3x+2)/(2x-3))+sqrt((2x+3)/(3x+2))=2,5
- sqrt((3x-2)/(2x-3))+sqrt((2x-3)/(3x+2))=2,5
sqrt((3x+2)/(2x-3))+sqrt((2x-3)/(3x+2))=2,5 equation
The teacher will be very surprised to see your correct solution 😉
The solution
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[src]
_________ _________ / 3*x + 2 / 2*x - 3 / ------- + / ------- = 5/2 \/ 2*x - 3 \/ 3*x + 2
$$\sqrt{\frac{3 x + 2}{2 x - 3}} + \sqrt{\frac{2 x - 3}{3 x + 2}} = \frac{5}{2}$$
Sum and product of roots
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sum
11 - -- + 14/5 10
$$- \frac{11}{10} + \frac{14}{5}$$
=
17 -- 10
$$\frac{17}{10}$$
product
-11*14 ------ 10*5
$$- \frac{77}{25}$$
=
-77 ---- 25
$$- \frac{77}{25}$$
-77/25
Rapid solution
[src]
-11
x1 = ----
10
$$x_{1} = - \frac{11}{10}$$
x2 = 14/5
$$x_{2} = \frac{14}{5}$$
x2 = 14/5
The graph