Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x/12+x/8+x=-29/6
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Equation x^2+7x-18=0
- Equation x-y+2=0
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Equation (x-11)*(-x+9)=0
- Express {x} in terms of y where:
- 13*x-18*y=-17
- 7*x+6*y=20
- -7*x-19*y=-18
- 5*x+12*y=18
- Derivative of:
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2^x
- Integral of d{x}:
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2^x
- Graphing y =:
- 2^x
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Identical expressions
- two ^x= two *x+ eight
- 2 to the power of x equally 2 multiply by x plus 8
- two to the power of x equally two multiply by x plus eight
- 2x=2*x+8
- 2^x=2x+8
- 2x=2x+8
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Similar expressions
- 2x+8x^2=0
- 2^x=2*x-8
- 8/4^x-6*2^x+1=0
- 2*cos(2x)+8*sin(x)+3=0
2^x=2*x+8 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Sum and product of roots
[src]
sum
/-log(2) \
W|--------|
\ 32 /
4 + -4 - -----------
log(2)
$$\left(4\right) + \left(-4 - \frac{W\left(- \frac{\log{\left(2 \right)}}{32}\right)}{\log{\left(2 \right)}}\right)$$
=
/-log(2) \
-W|--------|
\ 32 /
-------------
log(2)
$$- \frac{W\left(- \frac{\log{\left(2 \right)}}{32}\right)}{\log{\left(2 \right)}}$$
product
/-log(2) \
W|--------|
\ 32 /
4 * -4 - -----------
log(2)
$$\left(4\right) * \left(-4 - \frac{W\left(- \frac{\log{\left(2 \right)}}{32}\right)}{\log{\left(2 \right)}}\right)$$
=
/-log(2) \
4*W|--------|
\ 32 /
-16 - -------------
log(2)
$$-16 - \frac{4 W\left(- \frac{\log{\left(2 \right)}}{32}\right)}{\log{\left(2 \right)}}$$
Rapid solution
[src]
x_1 = 4
$$x_{1} = 4$$
/-log(2) \
W|--------|
\ 32 /
x_2 = -4 - -----------
log(2)
$$x_{2} = -4 - \frac{W\left(- \frac{\log{\left(2 \right)}}{32}\right)}{\log{\left(2 \right)}}$$
The graph