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Maths
GCSE

Express x^2 +10x -3 in the form (x + p)^2 + q


x2 +10x-3=(x+5)2-25-3= (x+5)2 -28

CT
Answered by Carmen T. • Maths tutor
6476 Views

3/5 of a number is 162. Work out the number.

If we call the unknown number 'x' we can put it in to an equation to work it out as we known 5/3 of the number is 162.5x/3 = 162then times each side of the equals symbol by 5 to get (3x/5) 5 = 162

LM
Answered by Lucy M. • Maths tutor
13305 Views

Calculate 7.6 x 32.5

Treat both numbers as whole numbers - i.e 76 x 325 (remember at the end that there are still decimals!) 76 x 325 = 24,700 ( This will be explained by using the two lines by 1st method or method that the s...

JH
Answered by James H. • Maths tutor
2971 Views

x = 0.436363636... (recurring). Prove algebraically that x can be written as 24/55.

We need to multiply x by powers of 10 in order to get the recurring part on its own after the decimal point, and then be able to eliminate it. 10x = 4.363636... and 1000x = 436.363636...So subtracting we ...

JP
Answered by Joanna P. • Maths tutor
26377 Views

solve x^2 - 2 < 2

Change the inequality to an equalsx2 -2=2solve as normalx2 -2=2-2x2 -4=0factorise(x-2)(x+2)=0so x=-2 and x=2However, how do you know if the answer is bigger or smaller tha...

AM
Answered by Alicia M. • Maths tutor
3029 Views

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