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The equation (k+3)x^2 + 6x + k =5 has two distinct real solutions for x. Prove that k^2-2k-24<0

We argue using the discriminant of a quadratic polynomial. For a quadratic ax^2 + bx + c=0, the discriminant D is D = b^2 - 4ac. When this quadratic has two distinct real roots, we have that D &gt; 0. So we ...
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Answered by Huw D. • Maths tutor
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I don't understand why the function "f(x)=x^2 for all real values of x" has no inverse. Isn't sqrt(x) the inverse?

I don't understand why the function &quot;f(x)=x^2 for all real values of x&quot; has no inverse. Isn't sqrt(x) the inverse? I like to think of a function a bit like a machine. It takes in a number, and turn...
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Answered by Benjamin M. • Maths tutor
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What is the central dogma of molecular biology?

It explains the flow of information in biological systems, especially in eukaryotes. It can be simplified to &quot;DNA makes RNA makes protein&quot;. This explains how DNA, which is passed down the generatio...
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Answered by Kalyan M. • Biology tutor
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Is breaking the law always immoral? Discuss.

Most importantly, answers to essay questions in the LNAT need to be relevant and well-written. These are the qualities of a good lawyer. The answer to this question should therefore demonstrate a balanced ap...
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Answered by Beatrice W. • LNAT tutor
2671 Views

To what extent was government transformed during the reign of Henry VIII?

During the reign of Henry VIII there was broad structural change in central governance brought about by the transformative effects of the Reformation, and there was a fundamental shift in the structure of au...
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Answered by Mimi T. • History tutor
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