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Maths
GCSE

Solve x^2 + 10x - 3 = 0

completing the square (x+5)2 -25 -3 =0 (x+5)2 -28 = 0 (x+5)2 = 28 x= ±2√7 -5

IH
Answered by Isabelle H. Maths tutor
2742 Views

How do you factorize a quadratic equation with all positive numbers?

The easiest way to approach this is by trying to find two numbers which add up to the x coefficient (the number attached before the x) and multiply to the constant (the number on its own). For example...x...

CB
Answered by Charlotte B. Maths tutor
2496 Views

Work out the integer values that satisfy: x^2−7 x+ 11<0

It's easier if we first visualise the function on a graph, then we can see in which regions it is negative. From there we can see which integer values lie in this region. A positive quadratic function has...

JP
Answered by Jamie P. Maths tutor
7227 Views

Solve the simultaneous equation: y=x^2+2x-2 y=4x+6

You want to make the equations equal one another. If both equal y it can be written like this: x2+2x-2=4x+6Then simplify by putting the terms on one side and equaling 0: x2-2x-8Now p...

RD
Answered by Rosie D. Maths tutor
3579 Views

Given that y is directly proportional to square root of x and that y = 20 when x = 49 find an expression to represent x and y.

y = k √x20 = k √49 20/7 = ktherefore y = 20/7 √x

AP
Answered by Ann P. Maths tutor
5800 Views

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