Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 2*x^2-18=0
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Equation x*x-x+7=0
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Equation x^2=-100
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Equation 3*x-7/8-x-3/6=1
- Express {x} in terms of y where:
- 1*x+18*y=-5
- 7*x-18*y=-4
- 5*x+17*y=10
- 20*x-3*y=3
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Identical expressions
- two x^ two -2√2x- three = zero
- 2x squared minus 2√2x minus 3 equally 0
- two x to the power of two minus 2√2x minus three equally zero
- 2x2-2√2x-3=0
- 2x²-2√2x-3=0
- 2x to the power of 2-2√2x-3=0
- 2x^2-2√2x-3=O
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Similar expressions
- 2x^2-2√2x+3=0
- 2x^2+2√2x-3=0
2x^2-2√2x-3=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Rapid solution
[src]
__________________________________________________
/ ____________________ 3/4
/ / 2/3 3 ___ / 2/3 3 ___\ / 2/3 3 ___\
\/ 4 + \/ 2 + 2 + 2*\/ 2 *\4 - 2 - 2*\/ 2 / + \2 + 2 + 2*\/ 2 /
x_1 = --------------------------------------------------------------------------------
____________________
4 / 2/3 3 ___
2*\/ 2 + 2 + 2*\/ 2
$$x_{1} = \frac{\sqrt{\left(- 2 \cdot \sqrt[3]{2} - 2^{\frac{2}{3}} + 4\right) \sqrt{2^{\frac{2}{3}} + 2 + 2 \cdot \sqrt[3]{2}} + 4} + \left(2^{\frac{2}{3}} + 2 + 2 \cdot \sqrt[3]{2}\right)^{\frac{3}{4}}}{2 \sqrt[4]{2^{\frac{2}{3}} + 2 + 2 \cdot \sqrt[3]{2}}}$$
Sum and product of roots
[src]
sum
__________________________________________________
/ ____________________ 3/4
/ / 2/3 3 ___ / 2/3 3 ___\ / 2/3 3 ___\
\/ 4 + \/ 2 + 2 + 2*\/ 2 *\4 - 2 - 2*\/ 2 / + \2 + 2 + 2*\/ 2 /
--------------------------------------------------------------------------------
____________________
4 / 2/3 3 ___
2*\/ 2 + 2 + 2*\/ 2
$$\left(\frac{\sqrt{\left(- 2 \cdot \sqrt[3]{2} - 2^{\frac{2}{3}} + 4\right) \sqrt{2^{\frac{2}{3}} + 2 + 2 \cdot \sqrt[3]{2}} + 4} + \left(2^{\frac{2}{3}} + 2 + 2 \cdot \sqrt[3]{2}\right)^{\frac{3}{4}}}{2 \sqrt[4]{2^{\frac{2}{3}} + 2 + 2 \cdot \sqrt[3]{2}}}\right)$$
=
__________________________________________________
/ ____________________ 3/4
/ / 2/3 3 ___ / 2/3 3 ___\ / 2/3 3 ___\
\/ 4 + \/ 2 + 2 + 2*\/ 2 *\4 - 2 - 2*\/ 2 / + \2 + 2 + 2*\/ 2 /
--------------------------------------------------------------------------------
____________________
4 / 2/3 3 ___
2*\/ 2 + 2 + 2*\/ 2
$$\frac{\sqrt{\left(- 2 \cdot \sqrt[3]{2} - 2^{\frac{2}{3}} + 4\right) \sqrt{2^{\frac{2}{3}} + 2 + 2 \cdot \sqrt[3]{2}} + 4} + \left(2^{\frac{2}{3}} + 2 + 2 \cdot \sqrt[3]{2}\right)^{\frac{3}{4}}}{2 \sqrt[4]{2^{\frac{2}{3}} + 2 + 2 \cdot \sqrt[3]{2}}}$$
product
__________________________________________________
/ ____________________ 3/4
/ / 2/3 3 ___ / 2/3 3 ___\ / 2/3 3 ___\
\/ 4 + \/ 2 + 2 + 2*\/ 2 *\4 - 2 - 2*\/ 2 / + \2 + 2 + 2*\/ 2 /
--------------------------------------------------------------------------------
____________________
4 / 2/3 3 ___
2*\/ 2 + 2 + 2*\/ 2
$$\left(\frac{\sqrt{\left(- 2 \cdot \sqrt[3]{2} - 2^{\frac{2}{3}} + 4\right) \sqrt{2^{\frac{2}{3}} + 2 + 2 \cdot \sqrt[3]{2}} + 4} + \left(2^{\frac{2}{3}} + 2 + 2 \cdot \sqrt[3]{2}\right)^{\frac{3}{4}}}{2 \sqrt[4]{2^{\frac{2}{3}} + 2 + 2 \cdot \sqrt[3]{2}}}\right)$$
=
___________________________________________________
/ ____________________ 3/4
/ / 2/3 3 ___ / 2/3 3 ___\ / 2/3 3 ___\
\/ 4 - \/ 2 + 2 + 2*\/ 2 *\-4 + 2 + 2*\/ 2 / + \2 + 2 + 2*\/ 2 /
---------------------------------------------------------------------------------
____________________
4 / 2/3 3 ___
2*\/ 2 + 2 + 2*\/ 2
$$\frac{\sqrt{- \left(-4 + 2^{\frac{2}{3}} + 2 \cdot \sqrt[3]{2}\right) \sqrt{2^{\frac{2}{3}} + 2 + 2 \cdot \sqrt[3]{2}} + 4} + \left(2^{\frac{2}{3}} + 2 + 2 \cdot \sqrt[3]{2}\right)^{\frac{3}{4}}}{2 \sqrt[4]{2^{\frac{2}{3}} + 2 + 2 \cdot \sqrt[3]{2}}}$$
The graph