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Differentiate the equation x^2 + 2y^2 = 4x

2X + 4Y (dy/dx) = 4 4Y (dy/dx) = 4 - 2X dy/dx = (4 - 2X) / 4Y
AK
Answered by Adam K. • Maths tutor
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solve two variables quadratic equation system 2x-y=1 10x^2-y^2-x+1=0

To solve the equation, we need to try to make the second equation all in x first.From the first equation 2x-y=1,we could rewrite it into y=2x-1,Then we put y=2x-1 into the quadratic equation 10x 2 -y 2 -x+1=...
KM
Answered by KEYU M. • Maths tutor
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Simplify: (log(40) - log(20)) + log(3)

First, know the log rule: log(x) - log(y) = log(x/y)Second, know the log rule: log(a) + log(b) = log(a b)So, starting with the brackets: log(40) -log(20) = log(40/20) which is log(2).Now we have: log(2) + lo...
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Answered by Edward R. • Maths tutor
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Sketch and label the graph of y=x^2 -5x+6

First we can try and factorise the expression:So we want to find 2 numbers that multiply to 6 and add to -5... after some thinking we get -2 and -3. The factorised expression is y=(x-2)(x-3). To find where t...
EG
Answered by Eamon G. • Maths tutor
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Solve this simultaneous equation: 5n+t= 21 n-3t=9

5n+t= 21n-3t=9 n= 9+3t5(9+3t)+t= 2145+15t+t= 2145+16t= 2116t= -24 t= -1.5 5n-1.5= 215n= 22.5 n= 4.5
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