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Find the solutions to the quadratic equation x^2-9x+20=0

By factorising the expression, (x-5)(x-4)=0. This means that either (x-5)=0 or (x-4)=0. By solving these equations we can work out the solutions to be x=4,5.

Answered by Chris M. • Maths tutor

3481 Views

Find the perpendicular bisector passing through the stationary point of the curve y=x^2+2x-7.

First thing to do is to find the stationary point of the curve. This is done by differentiating the function and then equating to zero, as the gradient of the stationary point is zero. Setting dy/dx to ze...

Answered by Chris M. • Maths tutor

3291 Views

12 + 37 + 47

12 + 37 + 47 = (10 + 30 + 40) + (2 + 7 + 7) = 80 + 16 = 96

It is important to visualize well the operation, being able to separate and put together the numbers that are easy to calculate together. ...

Answered by Marie H. • Maths tutor

3206 Views

Solve the following equation: 4(sinx)^2+8cosx-7=0 in the interval 0=<x=<360 degrees.

We first use the identity sin²x+cos²x=1 to substitute for sin^2 in terms of cos.

sin^2(x)=1-cos^2(x) -------------> -4cos^2(x)+8cosx-3=0

Answered by Natalia W. • Maths tutor

13932 Views

ABCDEF is a regular hexagon (I will sketch this in the session). Find the angle DAF

What do we know about hexagons? They have six angles and vertices. The fact that the hexagon is regular implies that all interior angles are the same. We can split the hexagon up into six triangles. These...

Answered by Jordan M. • Maths tutor

14826 Views