Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 81*x^3+18*x^2+x=0
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Equation (4-x)^2=(x+17)^2
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Equation 6=8-5(7x-1)
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Equation -5+9x=10x+4
- Express {x} in terms of y where:
- -13*x+7*y=-15
- -14*x-8*y=20
- -1*x+4*y=-10
- -2*x-19*y=3
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Identical expressions
- sqrt(x- three)+sqrt(two -x)= three
- square root of (x minus 3) plus square root of (2 minus x) equally 3
- square root of (x minus three) plus square root of (two minus x) equally three
- √(x-3)+√(2-x)=3
- sqrtx-3+sqrt2-x=3
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Similar expressions
- sqrt(x+3)+sqrt(2-x)=3
- sqrt(x-3)-sqrt(2-x)=3
- sqrt(x-3)+sqrt(2+x)=3
sqrt(x-3)+sqrt(2-x)=3 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
_______ _______ \/ x - 3 + \/ 2 - x = 3
$$\sqrt{- x + 2} + \sqrt{x - 3} = 3$$
Rapid solution
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____
5 3*I*\/ 11
x_1 = - - ----------
2 2
$$x_{1} = \frac{5}{2} - \frac{3 \sqrt{11} i}{2}$$
____
5 3*I*\/ 11
x_2 = - + ----------
2 2
$$x_{2} = \frac{5}{2} + \frac{3 \sqrt{11} i}{2}$$
Sum and product of roots
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sum
____ ____ 5 3*I*\/ 11 5 3*I*\/ 11 - - ---------- + - + ---------- 2 2 2 2
$$\left(\frac{5}{2} - \frac{3 \sqrt{11} i}{2}\right) + \left(\frac{5}{2} + \frac{3 \sqrt{11} i}{2}\right)$$
=
5
$$5$$
product
____ ____ 5 3*I*\/ 11 5 3*I*\/ 11 - - ---------- * - + ---------- 2 2 2 2
$$\left(\frac{5}{2} - \frac{3 \sqrt{11} i}{2}\right) * \left(\frac{5}{2} + \frac{3 \sqrt{11} i}{2}\right)$$
=
31
$$31$$
Numerical answer
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x1 = 2.5 - 4.9749371855331*i
x2 = 2.5 + 4.9749371855331*i
x2 = 2.5 + 4.9749371855331*i
The graph