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Find the possible values of x from the equation 3(x^2)+2x-4=2(x^2)+3x+8

Here we have an example of a quadratic equation in terms of x. Start by manipulating the equation until it is equal to 0: subtract 2(x^2) from both sides to get (x^2)+2x-4=3x+8. Then subtract 3x from both si...
TI
Answered by Tom I. • Maths tutor
4558 Views

Factorise fully 6xy + 3y

Step 1: recognise that the common factors of the two terms, 6xy and 3y, are: 3 and y. Step 2: take one common factor, say 3, out of the terms: 3(2xy + y). Step 3: also take the second common factor, y, outsi...
GR
Answered by George R. • Maths tutor
7166 Views

(root18 +root2)sqaured/(root8-2). Give answer in form A(B+rootC) where A,B and C are integers

root 18 = 3root2root8 = 2root2 Numerator: (3root2+root2)squared = (4root2)squared =32Denominator: 2root2 -2 = 2(1-root2)Simplify both numerator and denominator by dividing by 2 resulting in numerator to be 1...
MS
Answered by Muhammad S. • Maths tutor
6270 Views

If f(x) = 5 – x and g(x) = 3x + 7, simplify f(2x) + g(x – 1)

There are two stages to this problem: substituting x into the original equation and then expanding out the answer and simplify it. So, with the first stage, we replace every old 'x' with the new form in the ...
EC
Answered by Emma C. • Maths tutor
12668 Views

What is the value of x if (15*sqrt(x)) / sqrt(5) = 6*sqrt(5)

Note: sqrt means square root, and * means multiply method (overall aim is to make x the subject): multiply both sides by sqrt(5) to get: 15 * sqrt(x) = 6 * 5further expand the right hand side to get: 15 * sq...
CA
Answered by Catherine A. • Maths tutor
4277 Views