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Solve 3x2 + 7x – 13 = 0 Give your solutions correct to 2 decimal places.

a=3 b=7 c=-13 Use quad formula: -b+-root[(b^2-4ac)/2a] Sub in values: -7+-root[7^2-4x3x-13] =1.22 and -3.55
BP
Answered by Bronte P. • Maths tutor
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Express x^2 - 7x + 2 in the form (x - p)^2 + q , where p and q are rational numbers.

This is an example of completing the square.If we expand (x - p)^2 + q, we will have x^2 -2px + p + q.Now we can use algebra to work out what p and q are from the following equation. x^2 - 7x + 2 = x^2 -2px ...
CP
Answered by Catherine P. • Maths tutor
19375 Views

Expand (x+3)(x+1).

The Ancient Greeks perceived a much stronger relationship between Algebra and Geometry than we do today and because of that they often utilised Geometry to help think about, and solve, certain algebraic ques...
DC
Answered by Daniel C. • Maths tutor
4351 Views

Given a fixed parabola and a family of parallel lines with given fixed gradient, find the one line that intersects the parabola in one single point

Let the parabola be y=x 2 and let the family of lines be y=2x+c, in order to study the intersection points we need to consider the second order linear system given by having the two equations above. Hence, w...
FT
Answered by Francesca T. • Maths tutor
3682 Views

Find all solution to the equation 3tan(x)=8/sin(x) for 0<=x<=360 degrees

By multipying across and using some trigonometric identities we can turn this in to a much simpler quatratic which can be solved using the quadratic formula. This step can be simplified by using the substitu...
JB
Answered by James B. • Maths tutor
6266 Views