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Using the "complete the square" method, solve the following x^2 +4x - 21 =0

x2+4x-21= 0,  This can be factorised into brackets as shown: (x+2)- 4 - 21 = 0 SImplified, so all x's are on one side of the equation: (x+2)= 25, Removing square root,...

CS
Answered by Charlotte S. Maths tutor
5926 Views

Given a circle with the equation y^2 + x^2 = 10, with a tangent that intersects at point P, where x=1, find the coordinates for the point at which the tangent meets the x axis (Q).

As the tangent meets the circle at P, when x =1, we can assume that the y value will be the same for this value of x. therefore we substitute x=1 into the equation of the cirlce. Rearranging the equation ...

JP
Answered by Joseph P. Maths tutor
5198 Views

f(x) = 5x − 12. (i) Calculate f(4). (ii) Find f( x + 1). Give your answer in the form ax + b .

i) (5 x 4) -12 = 8 ii)  5(x + 1) - 12 5x + 5 -12 5x - 7

SM
Answered by Santiago M. Maths tutor
4913 Views

Differentiate y= 8x^2 +4x +5

dy/dx= (2 * 8)x(2-1) +4 = 16x + 4

JJ
Answered by Juevaneeta J. Maths tutor
4013 Views

Express (3 + 13x - 6x^2)/(2x-3) in the form Ax + B + C/(2x - 3)

The answer is -3x + 2 + 9/(2x-3). That is A = -3, B = 2 and C = 9.

I will use the whiteboard during my interview to explain the working.

SM
Answered by Sam M. Maths tutor
5350 Views

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