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Determine the nature of the roots of the quadratic equation x^2 + 6x + 8 = 0, and plot the graph of this function.

The graph has two distinct real roots (x=-4 and x = -2), which we can see by factorising the equation, which gives (x+4)(x+2) = 0. We can then plot the function y = x^2 + 6x + 8, first marking the roots on t...
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Answered by Daniel L. • Maths tutor
3648 Views

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

(1) x 2 + y 2 = 25 (2) y - 3x = 13 To solve simultaneous equations algebraically we want to rearrange one of the equations to be able to substitute this in to the other equation. In this example, we have squ...
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Answered by Maria O. • Maths tutor
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How does the eye respond to light?

The eye responds to bright light to protect the retina from damageThe bright light triggers a reflex that makes the pupils smaller, meaning less light enters the eyeAs with all reflexes, there is a stimulus,...
JA
Answered by Jonathan A. • Biology tutor
15402 Views

How do I solve simultaneous equations when one is quadratic? For example 3x^2 -2y = 19, 6x-y-14=0

The aim of this question is to find the two solutions which satisfy the quadratic equation. The approach to this can be broken down into a few principle steps: 1) Express y in terms of x. Here 6x-y-14=0 can ...
AM
Answered by Angus M. • Maths tutor
3237 Views

Draw and explain the atomic structure of one atom of Chlorine.

The answer would include a dot-and-cross diagram, displaying at the centre, a nucleus/the chemical symbol for chlorine, followed by three electron shells, the first containing two electrons, the second eight...
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Answered by Maya C. • Chemistry tutor
6728 Views