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Make x the subject of the equation: 2x+7=5x

Making x the subject means we must rearrange the equation to get it into the form 'x='First, we need to get all the x's on one side; to do so, we will subtract 2x from each side to give 2x+7-2x=5x-2x. Thi...

Answered by Safiya M. • Maths tutor

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v^2 = 2w - x^2. w = 40; x = 4. Find the value of v.

Firstly, we can put the values given in the question into our equation.v² = 2w - x²Goes to ...v² = 2(40) - (4)²After we do the multiplication and indices, the e...

Answered by Jack T. • Maths tutor

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The points (0, -5) and (5, 0) lie on a curve y=x^2 + ax + b. Find the stationary points on the curve.

Firstly, let us try to calculate the values for a and b to obtain an equation for the curve. To do this we will substitute the coordinates we are given into y=x² + ax + b:Substituting in (0, -5...

Answered by Adam R. • Maths tutor

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How do I complete the square?

Completing the square is an algebraic method that can be used to solve a quadratic equation and find the coordinates of a turning point of a graph. Let's use x²+ 4x -5 = 0 are our example.Firs...

Answered by Holly P. • Maths tutor

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