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Does the equation: x^2+5x-6 have two real roots? If so what are they?

Having two real roots is equivalent to having two intersections with the x axis. The equation is a parabola (a U shape) so, having two real roots is equivalent to having the lowest point of the curve below t...
SB
Answered by Stephen B. • Maths tutor
5819 Views

Differentiate a^x

Set y=a^x2. Take the natural log of both sides: ln(y)=ln(a^x)3. Using the log rules, simplify: ln(y)=xln(a)4. Differentiate both sides with respect to x: 1/y dy/dx=lna+05. Rearrange: dy/dx=yln(a)6. Using the...
HK
Answered by Hafsah K. • Maths tutor
17728 Views

Explain what is meant by resonance.

Resonance occurs when a driving frequency is similar to the natural frequency of the system. The system is forced to vibrate at its natural frequency and therefore absorbs maximum energy, which means that th...
HK
Answered by Hafsah K. • Physics tutor
19527 Views

Solve 13+4x=7-4x

Collect like terms on one side: 4x+4x=7-132. Simplify: 8x=-63. Divide to find the solution for x: x=-6/84. Simplify again for the answer: x=-3/4
HK
Answered by Hafsah K. • Maths tutor
5936 Views

What is a "PEE" chain?

You begin with the "P" which is "Point" and here you make a statement. For example, "Cats are the best household pets for young families". Then, the first "E" is evide...
KA
Answered by Katy A. • English tutor
29401 Views