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Solve x^2+6x+5=0 for x

x 2 +6x+5=(x+5)*(x+1)=0 therefore x+5=0 or x+1=0, hence x=-5 and x=-1
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Answered by William R. • Maths tutor
3714 Views

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

x 2 - 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 right so that we can compare the two. Therefore, conside...
JC
Answered by Joshua C. • Maths tutor
12291 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 give (3x-1)(x+1)=(2x-1)(x+...
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Answered by Eleanor R. • Maths tutor
3957 Views

What is the difference between the exam technique for an "outline" or "state" question and an "explain" or "discuss" question?

A "state", "describe" or "outline" question is not looking for analysis or explanation, merely accrate and relevant knowledge. The question will likely be a 4-marker and look so...
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Answered by Patrick H. • History tutor
38930 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 A h...
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Answered by Mohammad Q. • Maths tutor
8146 Views