Answer:
<u>3</u><u>z</u><u>^2 + 3z - 6 </u>=0
3
3 (z^2 + z -2) = 0
3(z+2)(z - 1) = 0
z + 2-2 = 0 - 2
z = -2
z - 1 + 1 = 0 + 1
z = 1
Step-by-step explanation:
- factor out the GCF (3) and divide everything by it, and then set it equal to zero.
- since you have a degree of 2, factor it into two binomials that start with the square root of the first term and end with the square root of the second term.
- 3=0 is extraneous solution so we leave it, then we set each binomial equal to zero to solve for z.
note: your solutions is based on the degree or the exponent of the polynomial or the function.
The solution to the original equation is 1, 1/6
<h3>Solving equation</h3>
Equations are expressions separated by mathematical operations.
Given the equation below
x/x − 1 = 6x + 1/x − 1
From the given expression, the least common denominator is x -1
Multiply both sides by x-1 to have;
x = 6x(x-1) +1
Expand
x = 6x^2-6x + 1
Equate to zero
6x^2-6x-x + 1 = 0
6x^2-7x +1= 0
The resulting quadratic equation in general form is 6x^2-7x +1 = 0
Factorize
6x^2 -6x-x + 1 = 0
Group the result
6x(x-1)-1(x-1) = 0
(6x-1)(x-1) = 0
6x - 1 = 0 and x -1 = 0
x = 1 and 1/6
Hence the solution to the original equation is 1, 1/6
Learn more on equation here: brainly.com/question/13763238
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<u>Answer-</u>
<em>A. Brandon’s sound intensity level is 1/4th as compared to Ahmad’s.</em>
<u>Solution-</u>
Given that, loudness measured in dB is

Where,
I = Sound intensity,
I₀ = 10⁻¹² and is the least intense sound a human ear can hear
Given in the question,
I₁ = Intensity at Brandon's = 10⁻¹⁰
I₂ = Intensity at Ahmad's = 10⁻⁴
Then,



That is 62x9 which is 9x2=18 and 9x60=540 so you then add 540+18=558 chairs