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Maths
GCSE

Using the quadratic equation, solve 3x^2+2x-15 to two decimal places.

The quadratic equation is x=(-b+-SQRT(b^2-4ac))/2a. In this instance, a = 3, b = 2, and c = 15. Simply putting the numbers in place of the letter counterpart, gives an answer of 1.93 and -2.59 to two deci...

Answered by Callum F. Maths tutor
4826 Views

Solve the simultaneous equations: 3x +4y = 18, and 5x - 2y = 4

First of all, you would label the equations, so let's call 3x +4y = 18 equation A, and 5x - 2y = 4 equation B. Then you would try to find a way to eliminate one of the variables (either x or y). We can do...

Answered by Rob S. Maths tutor
10606 Views

Solve the two simultaneous equations: 2y + x = 8 [A] and 1 + y = 2x [B]

I have labelled the two separate equations A and B so that it is easier to talk about them. There are two ways in which you can do these equations but I am going to explain the method using substitution. ...

Answered by Ciara D. Maths tutor
6858 Views

Solve x^2 + x/2 =5

Although this may look more complicated than normal, this is just a normal qudratic equation. First by rearranging the equation we can get it into a simpler form, and then we can go about solving it. The ...

Answered by Hannah J. Maths tutor
5001 Views

Pythagoras: If you have a right angled triangle PQR, and length PQ=5cm, length QR=8cm (which is the longest length), then calculate length PR to two decimal places.

Pythagoras' theorem is: a^2+b^2=c^2 (a=short side, b=short side, c=longest side/hypotenuse, ^=squared). Now applying that to this question would mean that a=PQ, b=PR and c=QR. So we can use the figures gi...

Answered by Pree S. Maths tutor
10731 Views

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