The product of twice a number and four is the same as the difference of seven times the number and Find the number and 1/4. The number is ??​

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

Factor and solve to find roots x squared -x - 90 =0