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Without expanding any brackets, work out the solutions of 9(x+3)^2 = 4

To solve for x first divide both sides by 9, giving the equation:(x+3)² = 4/9Then square root both sides, leading to:x+3 = +/- 2/3Finally subtract 3 from both sides leaving:x = -11/3 or x = -7/...

Answered by Modestas T. • Maths tutor

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Solve the simultaneous equations: 3x + y =11; 2x + y = 8

subtract one from the other to eliminate y: 3x+y=11; 2x+y=8 --> x=3substitute value of x back in and solve for y: 3(3)+y=11; 9+y=11; --> y=2

Answered by Israel H. • Maths tutor

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(a) Expand and simplify (x − 3)(x + 5), ..2 marks.. (b) Solve x^2 + 8x − 9 = 0 ..3 marks..

(a) Remember: Multiply each term in the left bracket by every term in the right bracket.(x-3)(x+5) = x²+ 5x - 3x -15.Collecting all of the like terms:= x²+ 2x -15.
(b) Solve x

Answered by Jack W. • Maths tutor

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Solve the simultaneous equations: x+y =2; x^2 + 2y = 12

The first thing to note about this question is that it's a simultaneous equations question, involving a quadratic. We will have to use substution in order to solve it. So first of all we need to chose whi...

Answered by • Maths tutor

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Why do I need to add the + C when finding an indefinite integral?

When you differenciate a function, the constant term turns to 0. So a lot of different functions like x²+ 7 and x²- 3 will have the same derivative, this means that going from the ...

Answered by • Maths tutor

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