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If the quadratic equation kx^2+kx+1=0 has no real roots, what values of k are possible?

The solutions to quadratic equations, which are of the form ax^2+bx+c=0 with a≠0, are given by the Quadratic Formula: x= [-b+-sqrt(b^2-4ac)]/(2a). However, all real numbers, whether negative or not, squar...

Answered by Maths tutor
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Sketch the graph y = 2sin(4x)

We know that y=sinx is the sinusoidal graph that starts at the origin, with maxima at x = pi/2 with a value of 1, and a minima at x = 3pi/2 with a value of -1.

The 4x inside the bracket means ...

Answered by Gagan K. Maths tutor
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Solve algebraically the simultaneous equations (x^2) + (y^2) =25 and y - 3x = 13 (5 Marks).

The solution to simultaneous equations is where the values of x and y satisfy both equations. In this case, we need to find values of x and y that satisfy the equations x2 + y2 =25 a...

Answered by Vaibhav G. Maths tutor
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A washing machine costs £500 in a sale and was reduced by 20%. What was its original price?

Maths is pretty straight forward, you just need to get the key information out the question.So, we have a washing machine that costs £500 on sale. It has been reduced by 20%, so we need to find the origin...

Answered by Raghavi S. Maths tutor
3740 Views

Use calculus to find the set of values of x for which f(x) = x^3 - 9x is an increasing function.

f(x) is an increasing function when its gradient is positive. To find the the gradient of the the function we must differentiate it:d/dx f(x) = 3x2 - 9. To differentiate we multiply the exponen...

Answered by Maths tutor
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