Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 3*x=12
-
Equation 4,3x-3,5=2,5x+1,9
-
Equation sin(x)=5/2
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Equation -5*x^2+x=0
- Express {x} in terms of y where:
- -12*x+10*y=2
- -11*x-15*y=-7
- -6*x-6*y=-20
- -9*x-10*y=-20
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Identical expressions
- two ^(three + two x)= four ^(one -x^2-3x)
- 2 to the power of (3 plus 2x) equally 4 to the power of (1 minus x squared minus 3x)
- two to the power of (three plus two x) equally four to the power of (one minus x squared minus 3x)
- 2(3+2x)=4(1-x2-3x)
- 23+2x=41-x2-3x
- 2^(3+2x)=4^(1-x²-3x)
- 2 to the power of (3+2x)=4 to the power of (1-x to the power of 2-3x)
- 2^3+2x=4^1-x^2-3x
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Similar expressions
- 2^(3+2x)=4^(1+x^2-3x)
- 2^(3+2x)=4^(1-x^2+3x)
- 2^(3-2x)=4^(1-x^2-3x)
2^(3+2x)=4^(1-x^2-3x) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
2 3 + 2*x 1 - x - 3*x 2 = 4
$$2^{2 x + 3} = 4^{- 3 x + \left(1 - x^{2}\right)}$$
Rapid solution
[src]
____
\/ 14
x1 = -2 - ------
2
$$x_{1} = -2 - \frac{\sqrt{14}}{2}$$
____
\/ 14
x2 = -2 + ------
2
$$x_{2} = -2 + \frac{\sqrt{14}}{2}$$
x2 = -2 + sqrt(14)/2
Sum and product of roots
[src]
sum
____ ____
\/ 14 \/ 14
-2 - ------ + -2 + ------
2 2
$$\left(-2 - \frac{\sqrt{14}}{2}\right) + \left(-2 + \frac{\sqrt{14}}{2}\right)$$
=
-4
$$-4$$
product
/ ____\ / ____\ | \/ 14 | | \/ 14 | |-2 - ------|*|-2 + ------| \ 2 / \ 2 /
$$\left(-2 - \frac{\sqrt{14}}{2}\right) \left(-2 + \frac{\sqrt{14}}{2}\right)$$
=
1/2
$$\frac{1}{2}$$
1/2
Numerical answer
[src]
x1 = -99.0161482956131
x2 = -69.0161482956131
x3 = -27.0161482956131
x4 = -91.0161482956131
x5 = -75.0161482956131
x6 = -3.87082869338697
x7 = -0.129171306613029
x8 = -89.0161482956131
x9 = -47.0161482956131
x10 = -0.129171306613029
x11 = -53.0161482956131
x12 = -39.0161482956131
x13 = -115.016148295613
x14 = -107.016148295613
x15 = -45.0161482956131
x16 = -29.0161482956131
x17 = -103.016148295613
x18 = -83.0161482956131
x19 = -51.0161482956131
x20 = -49.0161482956131
x21 = -79.0161482956131
x22 = -63.0161482956131
x23 = -57.0161482956131
x24 = -33.0161482956131
x25 = -109.016148295613
x26 = -59.0161482956131
x27 = -37.0161482956131
x28 = -97.0161482956131
x29 = -23.0161482956131
x30 = -111.016148295613
x31 = -93.0161482956131
x32 = -95.0161482956131
x33 = -73.0161482956131
x34 = -41.0161482956131
x35 = -65.0161482956131
x36 = -35.0161482956131
x37 = -31.0161482956131
x38 = -43.0161482956131
x39 = -55.0161482956131
x40 = -85.0161482956131
x41 = -81.0161482956131
x42 = -71.0161482956131
x43 = -25.0161482956131
x44 = -113.016148295613
x45 = -61.0161482956131
x46 = -87.0161482956131
x47 = -101.016148295613
x48 = -77.0161482956131
x49 = -105.016148295613
x50 = -67.0161482956131
x50 = -67.0161482956131