5 and a + 7 5 is equal to 55 The sum of a - 8 a² – a – 56 - a. Solve for a. a = Enter your answers, separated by commas. Type DNE if no solution exists.

solve z^2 - w^3 = 0 diophantine equation

Solve for z. (2-i)z+8z^2=0

Solve equation. Give the exact solution. Answer should be as a comma-separated list) 3x^2+3x = 1/9

Determine solutions for the equation 5sin^2 x + 2sinx = 0 in the interval x E [-2π, 2π] algebraically. Please round your irrational answers to 3 digits after the decimal point (for example x=2.378 or x=0.001). Please use appropriate notation for your final answer.

The equation 6x^3=43x^2+79x+30 is solved in the Summa of Luca Pacioli as follows: "Add the number to the cose to form a number, and then you get one cubo equal to 7 1/6​ censi plus 18 1/6​ , after you have reduced to one cubo [divided all the terms by 6]. Then divide the censi in half and multiply this half by itself, and add it onto the number. It will be 31 1/144​ and the cosa is equal to the root of this plus 3 7/12 , which is half of censi."   Show that Pacioli's answer is incorrect. What was he thinking of in presenting his rule?