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meriva
3 years ago
11

Solve 9x2 + 12x + 4 = 0. By using the quadratic formula

Mathematics
2 answers:
charle [14.2K]3 years ago
5 0
Discriminant= b^{2}-4.a.c \\ \\  We\:need\:to:-b+ \sqrt{discriminant} /2a \\   \\  9x^{2} +12x+4=0  \\ => 12^{2} -4.9.4 \\ 144-144=0 \\  \sqrt{0} =0 \\  \\ -12+ 0/18= \frac{-12}{18} = \frac{-2}{3}   \\  \\ That`s\: enough=>x= \frac{-2}{3}  \\  \\ \framebox[1.1\width]{Good Luck!} \par
disa [49]3 years ago
4 0
So 9x^2+12x+4=0

so the quadratic formulat is (-b+/-(squrt(b^2-4ac)))/(2a)=x
subsitute
ax^2+bx+c=

9=a
12=b
4=c

(-12+/-(squrt(12^2-4(9)(4))))/(2(9))=x
(-12+/-(squrt(144^2-144)))/18)=x

(-12+/-0)/18)=x
-12/18=x
-2/3=x
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The compound inequality 8.00 ≤ x < 9.50 represents all values, x, for which college students are paid hourly as teacher assis
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Answer: x≥ 8.00 and x < 9.50 is the correct option.

Step-by-step explanation:

Since, given expression 8.00 ≤ x < 9.50

Where x is the value for which college students are paid hourly as teacher assistants.

so, x is greater than or equal to 8.00

Therefore, x\geq 8.00  

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Therefore,  x < 9.50

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For this case we have the following fractions:

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We must rewrite the fractions, using the same denominator.

We have then:

We multiply the first fraction by 11 in the numerator and denominator:

\frac {11} {2} \frac {11} {11}

We multiply the second fraction by 2 in the numerator and denominator:

\frac {6} {11} \frac {2} {2}

Rewriting we have:

For the first fraction:

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We note that:

\frac {121} {22}> \frac {12} {22}

Answer:

The fractions are not equivalent:

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