Search our library of Maths questions

Top answers

Maths

All levels

Solve x^2+10x+5=0 using completing the square.

Completing the square is one of the 3 common ways to solve a quadratric equation (other two being factorising and using the quadratic formula).Using completing the square method, you manipulate the first ...

Answered by Vijendra V. • Maths tutor

4079 Views

Solve the inequality 5(x+2) > 7x+9

To solve the inequality all x terms must be move to one side and all non x terms to the other. First the brackets must be expanded to give 5x+10 > 7x+9. Then 9 is subtracted from both sides to give 5x+...

Answered by Sophia S. • Maths tutor

3412 Views

Solve algebraically the simultaneous equations y-3x=13 and x^2+y^2=25

The point of solving simultaneous equations is to find the points at which the two equations intersect. In this case, it is clear to see that the first one is a circle with radius 5, centre (0,0) and the ...

Answered by Inesa S. • Maths tutor

5331 Views

The curve C has the equation 4x^2 - y^3 - 4xy + 2y = 0 . The point P with coordinates (-2, 4) lies on C. Find the exact value of dy/dx at the point P.

4x² - y³ - 4xy + 2^y = 0To find dy/dx we need to differentiate all the terms in the equation. As you may notice the x's and y's are mixed together so we will have to use

Answered by Esther M. • Maths tutor

10418 Views

Differentiate with respect to x: y=2^x

This question demonstrates how the exponential function can be used to simplify equations. In its current form the equation appears complex and the method is not clear. However, if we take the ln of both ...

Answered by Hugo W. • Maths tutor

3949 Views