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3 years ago

What is z/5 + 3 = -35

1 answer:

3 0

$\frac{z}{5} +3=-35 = 5 \frac{z}{5} +5*3 = -5* 35 = z+15=-175 = 
$
$z+15-15=-175-15 = 
z = -190$

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Arisa [49]

Multiply both the numerator and denominator by $2+\sqrt3$ , which is called the "conjugate" of $2-\sqrt3$ :

$\dfrac{5+\sqrt3}{2-\sqrt3}\cdot\dfrac{2+\sqrt3}{2+\sqrt3}$

Why do we pick this number? Recall the difference of squares factorization:

$a^2-b^2=(a-b)(a+b)$

Now replace $a=2$ and $b=\sqrt3$ . Then

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$\dfrac{5+\sqrt3}{2-\sqrt3}=\dfrac{(5+\sqrt3)(2+\sqrt3)}1=(5+\sqrt3)(2+\sqrt3)$

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