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Maths
GCSE

Find the two solutions to the quadratic equation x^2-9x+18

The constant 18 can be written in the form 3*6. Therefore the brackets will take the form (x 3)(x 6). In order to find the sign in between them, we have to write -9 using 3 and 6. -9=-3-6 so the brackets ...

Answered by Felix A. Maths tutor
4075 Views

Solve 3(x-2)=21

Firstly, I would explain to the student what exactly the question is asking you to do. When solving an equation we are finding the value of x. I would get the student to read the equation aloud, starting ...

Answered by Imogen N. Maths tutor
12373 Views

Factorise and solve x^2 - 8x + 15 = 0.

15 can be rewritten as 3*5, so our factorisation must be in the form (x ? 3)(x ? 5). To determine the signs inside the brackets we need to find a way to make -8 from 3 and 5. This is done with -8=-5-3, so...

Answered by James W. Maths tutor
4504 Views

Solve 5x^2 - 9x + 4 = 0 using the quadratic formula

The quadratic formula is (-b±sqrt(b^2-4ac))/2a where a is the coefficient of the x^2 term, b is the coefficient of the x term and c is the number. So, in this case a=5, b=-9 and c=4. Substitute this into ...

Answered by Matilda P. Maths tutor
8399 Views

Solve these equations simultaneously: (1) 5x - 10z = -45 and (2) 9x = -5z + 80

There are two methods to solve this equation. 1) Rearrange equation 2 to get all the xs and zs on the left hand side (9x+5z=80). Multiply either equation to get an equal number of xs or zs in both equatio...

Answered by Matilda P. Maths tutor
3358 Views

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