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Discriminants and determining the number of real roots of a quadratic equation

What is a discriminant? A discriminant is a value calculated from a quadratic equation. It use it to ' discriminate' between the roots (or solutions) of a quadratic equation. A quadratic equation is one of t...
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Answered by Gus N. • Maths tutor
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How can I find the area under the graph of y = f(x) between x = a and x = b?

You can find the area under this graph by evaluating the definite integral of y = f(x) with respect to x between x = a and x = b Please note: An area below the x-axis has a negative value Example: Find the a...
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Answered by Jonathan R. • Maths tutor
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How do I find the equation of the normal line given a point on the curve?

The normal line to a curve at a particular point is the line through that point and perpendicular to the tangent. A simple trick to remembering how to find the normal gradient, n , is that the slope of any l...
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Answered by Joy M. • Maths tutor
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What is solution by substitution?

Simultaneous equations - Solution by substitution As the variables (x & y) are the same in both equations , we can substitute from one equation into the other. This will give an equation with just one va...
AM
Answered by Antonia M. • Maths tutor
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Solve the following simultaneous equations: 4x + y = 14 and 6x - y = 16

First, write out the equations beneath each other: 4x + y = 14 6x - y = 16 Then, label the equations a and b (let's take the top one as a, and the bottom one as b) We always look to eliminate either the x te...
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Answered by Rebecca S. • Maths tutor
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