Explain how you can determine the sign of an integer quotient without dividing.

1 answer:

6 0

Use multiplication. Say you need to divide 56 by 8. You'd attempt to find the multiples of 8 and find the clear answer of when 56 comes around. It obviously wouldn't be 1, because that's 8.. nor would it be 2, 3, 4, or 5.. so that's where the actual multiplication and finding the number starts. You need to try multiple numbers in order to find the answer. The answer would be 7. See, you just found out the answer without even dividing. :))))

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Solve the equation by using the Square Root Property.<br><br><br><br> 16x2 + 16x + 4 = 81

Maslowich

Answer:

$x = \dfrac{7}{4}, x = \dfrac{-11}{4}$

Step-by-step explanation:

We are given the following equation in the question:

$16x^2 + 16x + 4 = 81$

We have to find the solution of the equation using square root property.

We can solve the equation as:

$16x^2 + 16x + 4 = 81\\(4x)^2 + 2(4x)(2) + (2)^2 = 81\\\text{Identity: }(a+b)^2 = a^2 + b^2 + 2ab\\\Rightarrow (4x+2)^2 = 81\\ \Rightarrow (4x+2) = \sqrt{81}\\ \Rightarrow (4x+2) = \pm 9\\ \Rightarrow (4x+2) = 9, (4x+2) = -9\\\Rightarrow 4x = 7, 4x = -11\\\Rightarrow x = \dfrac{7}{4}, x = \dfrac{-11}{4}$