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Maths
GCSE

Solve the simultaneous equations: y=3x+2, x^2+y^2=20

y=3x+2 x^2+y^2=20 x^2+(3x+2)^2=20 x^2+(3x+2)(3x+2)=20 x^2+(9x^2+6x+6x+4)=20 x^2+(9x^2+12x+4)=20 10x^2+12x+4=20 10x^2+12x-16=0 5x^2+6x-8=0 (5x-4)(x+2)=0 5x-4=0, x+2=0 x=4/5=0.8, x=-2 y=3x+2, y=3x+2 y=3(0.8...

DC
Answered by Daniela C. Maths tutor
14879 Views

3x^2 + 7x - 13 = 0. What is x?

By using the quadratic quation, it can be deduced that x = 1.22 or x = -3.55

MS
Answered by Miranda S. Maths tutor
5311 Views

Simplify the surd sqrt(48)

When simplifying surd expressions we want to look for square numbers that are factors of the number inside the square root. If we list the square numbers (which are numbers that are the result of squaring...

MH
Answered by Matthew H. Maths tutor
30907 Views

Rationalise the denominator and simplify: 10/3√5 (2 marks)

First of all, you need to read the question really carefully and look at how many marks it is worth. The question is worth two marks and it is asking you to do two things: firstly, you need to ‘rationalis...

MP
Answered by Megan P. Maths tutor
14956 Views

Solve: 4x + 5 = 6x - 13

4x+5=6x-13. Take 4x from both sides 5= 6x-4x-13 5=2x-13. On the right hand side, you have -13 value. Add 13, to make 0. Adding thirteen on right also adds thirteen on left. 5 + 13 = 2x - 13 + 13 18=2x. 2 ...

YH
Answered by Yacine H. Maths tutor
7482 Views

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