Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation log2(x^2+3x)=2
- Equation sin(6πsinx)+√3cos(6πsinx)=2
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Equation ctg(x)=-sqrt3/3
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Equation sqrt(2*cos(x))-1=0
- Express {x} in terms of y where:
- 9*x+18*y=6
- (x^2+y^2-1)^3+x^2*y^3=0
- -1*x-19*y=-10
- 5*x+5*y=20
- How do you in partial fractions?:
- ((4x-5)/(3x+2))^2+((3x+2)/(5-4x))^2
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Identical expressions
- ((four x- five)/(3x+ two))^ two +((3x+ two)/(five -4x))^ two =4. twenty-five
- ((4x minus 5) divide by (3x plus 2)) squared plus ((3x plus 2) divide by (5 minus 4x)) squared equally 4.25
- ((four x minus five) divide by (3x plus two)) to the power of two plus ((3x plus two) divide by (five minus 4x)) to the power of two equally 4. twenty minus five
- ((4x-5)/(3x+2))2+((3x+2)/(5-4x))2=4.25
- 4x-5/3x+22+3x+2/5-4x2=4.25
- ((4x-5)/(3x+2))²+((3x+2)/(5-4x))²=4.25
- ((4x-5)/(3x+2)) to the power of 2+((3x+2)/(5-4x)) to the power of 2=4.25
- 4x-5/3x+2^2+3x+2/5-4x^2=4.25
- ((4x-5) divide by (3x+2))^2+((3x+2) divide by (5-4x))^2=4.25
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Similar expressions
- ((4x+5)/(3x+2))^2+((3x+2)/(5-4x))^2=4.25
- ((4x-5)/(3x+2))^2+((3x-2)/(5-4x))^2=4.25
- ((4x-5)/(3x+2))^2+((3x+2)/(5+4x))^2=4.25
- ((4x-5)/(3x+2))^2-((3x+2)/(5-4x))^2=4.25
- ((4x-5)/(3x-2))^2+((3x+2)/(5-4x))^2=4.25
((4x-5)/(3x+2))^2+((3x+2)/(5-4x))^2=4.25 equation
The teacher will be very surprised to see your correct solution 😉
The solution
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[src]
2 2 /4*x - 5\ /3*x + 2\ |-------| + |-------| = 17/4 \3*x + 2/ \5 - 4*x/
$$\left(\frac{3 x + 2}{5 - 4 x}\right)^{2} + \left(\frac{4 x - 5}{3 x + 2}\right)^{2} = \frac{17}{4}$$
Rapid solution
[src]
x1 = -9/2
$$x_{1} = - \frac{9}{2}$$
x2 = 1/10
$$x_{2} = \frac{1}{10}$$
x3 = 8/11
$$x_{3} = \frac{8}{11}$$
x4 = 12/5
$$x_{4} = \frac{12}{5}$$
x4 = 12/5
Sum and product of roots
[src]
sum
-9/2 + 1/10 + 8/11 + 12/5
$$\left(\left(- \frac{9}{2} + \frac{1}{10}\right) + \frac{8}{11}\right) + \frac{12}{5}$$
=
-14 ---- 11
$$- \frac{14}{11}$$
product
-9
----*8
2*10
------*12
11
---------
5
$$\frac{12 \frac{8 \left(- \frac{9}{20}\right)}{11}}{5}$$
=
-216 ----- 275
$$- \frac{216}{275}$$
-216/275