Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation x^2=12
-
Equation 12-x^2=11
-
Equation -sin(x)=0
-
Equation 4x+5=2x-7
- Express {x} in terms of y where:
- -5*x-6*y=-1
- -17*x-15*y=-17
- -2*x+7*y=-14
- -11*x-1*y=15
-
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
-
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