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7sechx - tanhx = 5 7/coshx - sinhx/coshx = 5 7 - sinhx = 5 cosh x 7 - 0.5(e^x - e^-x) = 2.5(e^x + e^-x) 7 -0.5e^x + 0.5e^-x = 2.5e^x +...

Whenever you see a problem involving an inequality (greater than or less than sign) it is really important to pause for a second before you go breaking any rules of mathematics. ...

The initial quadratic can be either positive or negative so we must solve for both possibilities.

Solving for positive:

3x^2 - 19x + 20 < 2x + 2    =    3x^2 - 21x + 18 < 0

a) Need to multiply with conjugate to bring z to form a+ib. => z= z * (1-i)/(1-i) = (4-4i) / 2 = 2-2i

b) z^2 = (2-2i)^2 = 4-8i+4 i^2 = 4-8i-4 = 8i

since z is root of x^2+px+q=0 then z* (c...