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Given that x=3 is a solution to f(x)= 2x^3 - 8x^2 + 7x - 3 = 0, solve f(x)=0 completely.

As x=3 is a solution, (x - 3) is a factor of f(x) = 2x3- 8x2+ 7x - 3 = 0 ie. 2x3- 8x2+ 7x - 3 = (x - 3)(Ax2 + Bx + C) where A,B,C are constants to be...

AS
Answered by Adrian S. Maths tutor
6687 Views

y=2x+5, calculate x when y=11

So what we need to do is work out what x is when y is equal to 11.Firstly, we would rearrange the equation so that x is the subject and to do this we subtract 5 from both sides.Thisgives us y-5 =2x. Divid...

DA
Answered by Daniaal A. Maths tutor
3549 Views

Express 3x+1/(x+1)(2x+1) in partial fractions

3x+1/(x+1)(2x+1)=A/(x+1) + B/(2x+1)Multiply equation by (x+1) and (2x+1) to get:3x+1= A(2x+1) + B(x+1)Let x=-1 (x+1=0 so x=-1) sub into new equation. -2= A(-1) + B (x+1)-2=-AA=2Let x=-1/2 and sub into sam...

NM
Answered by Niamh M. Maths tutor
5595 Views

Figure 1 shows a sector AOB of a circle with centre O and radius r cm. The angle AOB is θ radians. The area of the sector AOB is 11 cm2 Given that the perimeter of the sector is 4 times the length of the arc AB, find the exact value of r.

theta/2pi x2pir = length of ABso therefore simplifying gives... thetar = AB
Perimeter = 2r+thetarequate the answer of 4AB to the perimeter.Solve for theta which eventually give 2/3...

TD
Answered by Tutor460124 D. Maths tutor
19227 Views

Why can’t you use the quadratic formula for every quadratic?

For most Quadrátics in the form of ax^2+bx+c=0there is atleast 2 solutions in most cases as the graph of the quadratic passes the x axis on most cases. But In some cases the quadratic graph doesn’t Cross ...

CG
Answered by Carlos G. Maths tutor
2856 Views

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