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Maths
GCSE

Complete the square of x^2 + 10x -3

ax^2 + bx + c squared form: (x + p)^2 + qDivide b by two where here b=10 and then put this value into where p is in the squared form(x + 5)^2Multiply it outx^2 + 10x + 25Compare this with original equatio...

Answered by Sajitha S. Maths tutor
2759 Views

Solve 4(x–5)=18

Firstly, you would expand the brackets on the right hand side of the equation, resulting in the equation looking like:4x - 20 = 18Then you would isolate the x, so would add 20 to 18:4x = 38Then, divide bo...

Answered by Ravisha S. Maths tutor
5373 Views

Work out 1 1/5 ÷ 3/4. Give your answer as a mixed number in it's simplest form

First we get rid of the first mixed fraction by making it top heavy:1=5/5, therefore 1 1/5= 6/5Then we flip the second fraction to get its reciprocal: 4/3Now we change the sign to multipl...

Answered by Michael C. Maths tutor
7822 Views

Solve 5 < x² + 1 < 10

We can take 1 away from all elements to obtain 4 < x² < 9. Now, it's important to notice that when we square a negative, it gives us a positive, so when we take a square root to get 2 < x < 3 ...

Answered by Mateusz O. Maths tutor
2038 Views

Solve x^2 - 7x > -6

We want to find the values of x for which this inequality is 0. Let's first fine the values of x for which x2- 7x = -6.Rearranging, x2 - 7x + 6 = 0. Now we're looking for the values ...

Answered by Lucas G. Maths tutor
3126 Views

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