Mister Exam
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How to use it?
- Equation:
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Equation (4x-7)-(9x-3)=21
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Equation x+2x²-4=8+3x²-7x
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Equation x^4-10x^2+25=0
- Equation z^2-(2+i)z+2i=0
- Express {x} in terms of y where:
- -10*x+18*y=6
- 4*x+13*y=13
- 17*x-19*y=1
- 10*x+9*y=-4
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Identical expressions
- lg^ two (x+ one)=lg(x+ one)*lg(x- one)+ two lg^2(x- one)
- lg squared (x plus 1) equally lg(x plus 1) multiply by lg(x minus 1) plus 2lg squared (x minus 1)
- lg to the power of two (x plus one) equally lg(x plus one) multiply by lg(x minus one) plus two lg squared (x minus one)
- lg2(x+1)=lg(x+1)*lg(x-1)+2lg2(x-1)
- lg2x+1=lgx+1*lgx-1+2lg2x-1
- lg²(x+1)=lg(x+1)*lg(x-1)+2lg²(x-1)
- lg to the power of 2(x+1)=lg(x+1)*lg(x-1)+2lg to the power of 2(x-1)
- lg^2(x+1)=lg(x+1)lg(x-1)+2lg^2(x-1)
- lg2(x+1)=lg(x+1)lg(x-1)+2lg2(x-1)
- lg2x+1=lgx+1lgx-1+2lg2x-1
- lg^2x+1=lgx+1lgx-1+2lg^2x-1
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Similar expressions
- lg^2(x+1)=lg(x-1)*lg(x-1)+2lg^2(x-1)
- lg^2(x+1)=lg(x+1)*lg(x+1)+2lg^2(x-1)
- lg^2(x+1)=lg(x+1)*lg(x-1)+2lg^2(x+1)
- lg^2(x-1)=lg(x+1)*lg(x-1)+2lg^2(x-1)
- lg^2(x+1)=lg(x+1)*lg(x-1)-2lg^2(x-1)
lg^2(x+1)=lg(x+1)*lg(x-1)+2lg^2(x-1) equation
The teacher will be very surprised to see your correct solution 😉
The solution
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[src]
2 2 log (x + 1) = log(x + 1)*log(x - 1) + 2*log (x - 1)
$$\log{\left(x + 1 \right)}^{2} = 2 \log{\left(x - 1 \right)}^{2} + \log{\left(x - 1 \right)} \log{\left(x + 1 \right)}$$
Sum and product of roots
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sum
___ 3 + \/ 2
$$\sqrt{2} + 3$$
=
___ 3 + \/ 2
$$\sqrt{2} + 3$$
product
___ 3*\/ 2
$$3 \sqrt{2}$$
=
___ 3*\/ 2
$$3 \sqrt{2}$$
3*sqrt(2)