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Algebra Questions & Answers

Q:
By first completing the square, solve \[ x^{2}+8 x+4=0 \] Give your answers fully simplified in the form \( x=a \pm b \sqrt{c} \), where \( a, b \) and \( c \) are integers.
Q:
(0) \( \frac{1}{\sqrt{3}} x \) Find the equation of the straight line which passes throught the point \( (-6,-1) \) and is parallef to the straight line whose cquation is \( \frac{1}{2} x+3 y=1 \)
Q:
Utiliza las propiedades de los logaritmos para simplificar la expresión: \( \log_{5}(25) + \log_{5}(4) \).
Q:
Utiliza las propiedades de los logaritmos para simplificar la expresión: \( \log_{5}(25) + \log_{5}(4) \).
Q:
Determinar si \( w=\left\{\left(a_{1}, a_{2}, a_{3}\right) \mid a_{1}=3 a_{3}=-a_{2}\right\} \) is un subespacio de \( R_{3}^{3} \)
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b) \( \frac{5 x+6}{4}-\frac{5 x-8}{12}=\frac{7 x+5}{6} \)
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Exercice 02 of Soient: \( A=3 \sqrt{18}-\sqrt{72}+2 \sqrt{\frac{9}{2}} \) et \( B=\sqrt{28}+\sqrt{32}-2 \sqrt{2} \) (1) Montrer que : \( A-B=4 \sqrt{2}-2 \sqrt{7} \). (2) Comparer \( A \) et \( B \). (
Q:
Given the expression \( \frac{3x + 2}{x^{2} - x - 6} \), use linear partial fractions to rewrite it.
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Let \( f(x)=4 x^{3}-2 x^{2}-8 x+4 \). Factor the polynomial and find the only rational zero. work. Write this solution for number 4 .
Q:
9. In the expression shown \( p \) represents a rational number. What value of \( p \) makes the expression equal a number less than 4 ? (Hint: is the fraction less than one or greater than one) 6.3 B A. \( \frac{9}{8} \) B. \( \frac{19}{17} \) C. \( \frac{7}{8} \) D. \( \frac{16}{16} \)

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