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Factorise and find the solutions of the equation 6x^2 + 4x -10 = 0

6x² + 4x - 10 = 0
6x² + 10x - 6x - 10 = 0
2x(3x + 5) - 2(3x + 5) = 0
(2x - 2)(3x + 5) = 0
Case 1:
2x - 2 = 0
2x = 2
x = 1
Case 2:
3x +...

Answered by Cathy H. • Maths tutor

4390 Views

Simplify the expression: (2a + a)x(5a - a)

Evaluate each bracket first. We have:(2a + a)x(5a - a) = (3a)x(4a)Then, multiply both brackets.(3a)x(4a) = 12a²

Answered by Jonas O. • Maths tutor

4566 Views

Solve 6/(x-3) + x/(x+4) = 1

(6(x+4) + x(x-3) )/ ((x-3)(x+4)) = 1 obtain a common denominator and write as one fraction. (6x+24+x²-3x ) /( x²-3x+4x-12) = 1 multiply out the brackets. (x²+3x+24)/ (x

Answered by Jana R. • Maths tutor

2519 Views

Find an antiderivative to the function f(x) = e^x cos(x)

We see a product of two things, so we should consider integration by parts (IBP). IBP is usually useful when either 1) you can differentiate or integrate one of the two things repeatedly to eventually get...

Answered by Christoffer A. • Maths tutor

1279 Views

Solve inequality: sqrt(x^2) + x < 1

There are two possible solutions, substitution and using absolute value. Here, we will use absolute value method.By definition of square root we get: sqrt(x^2) = |x|. By definition of absolute value we ge...

Answered by Robert F. • Maths tutor

6755 Views