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x^2 - 10x + 33 ≡ (x - a)^2 + b. Work out the value of a and b.

x2 - 10x + 33 ≡ (x - a)2 + b Work out the value of a and b. Our aim here is to write the expression on the left in the same form as the one on the...

JC
Answered by Joshua C. Maths tutor
11224 Views

How do you solve algebraic fractions with quadratics?

First you need to remove the fractions from each side,

take the equation: (x+1)/(x+3) = (2x-1)/(3x-1)

now multiply by x+3 to give x+1 = (2x-1)(x+3)/(3x-1)

now multiply by (3x-1) to gi...

ER
Answered by Eleanor R. Maths tutor
3008 Views

Integral of e^x*sinx

written out

JJ
Answered by Jamil J. Maths tutor
3688 Views

The line l is a tangent to the circle x^2 + y^2 = 40 at the point A. A is the point (2,6). The line l crosses the x-axis at the point P. Work out the area of the triangle OAP.

Firstly to work out the area of the triangle OAP we need to know the coordinates of the individual points O, A and P. O is the centre of the axis hence has coordinates (0,0). The coordinates of the point ...

MQ
Answered by Mohammad Q. Maths tutor
6630 Views

Solve the simultaneous equations: 2x-y=x+4; x^2+4y^2=37

taking equation 1 and solving for x: 2x-y=x+4 x-y=4 x=y+4 Sub our new equation into equation 2 from the question: (y+4)2 +4y2=37 Expand and simplify: y2 +8y+16+4y2

AW
Answered by Alexander W. Maths tutor
5204 Views

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