Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 4x^2-9=0
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Equation 4x+5=2x-7
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Equation 3-x=1+x
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Equation 5^x=8^x
- Express {x} in terms of y where:
- 4*x+8*y=7
- -16*x-12*y=12
- -4*x-4*y=19
- -8*x+3*y=-4
- 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
- 2^x=16^2
- 8/4^x-6*2^x+1=0
- (7-2x)*(7-2x)*(7-2x)+8x*8x*8x-50x=43
- 13/18x=13=7/12x+8
- 2^x=2*x-8
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