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3 years ago

Solve for In(5z + 7) – 8

Mathematics

1 answer:

Elden [556K]3 years ago

6 0

Step-by-step explanation:

In×5z+In×7

=1.67z +1.95-8

=1.67z-6.05

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What's the improper fraction of 3 and 1/3

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3 years ago

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Solve the quadratic equation by completing the square. 6x2 + 4x - 5 = 0

Nikitich [7]

Answer:

$x_{1}=-\frac{2+\sqrt{34}}{6}$

$x_{2}=-\frac{2-\sqrt{34}}{6}$

Step-by-step explanation:

Quadratic Equation given:

$6x^2 + 4x - 5 = 0$

Start dividing both sides by 6.

$\frac{6}{6} x^2 +\frac{4}{6} x - \frac{5}{6} = \frac{0}{6}$

$x^2 +\frac{2}{3} x - \frac{5}{6} = 0$

$x^2 +\frac{2}{3} x = \frac{5}{6}$

Once, $\left( \frac{2}{3} \cdot \frac{1}{2} \right)^2=\frac{1}{9}$

$x^2 +\frac{2}{3} x+\frac{1}{9} = \frac{5}{6}+\frac{1}{9}$

$\left(x+\frac{1}{3} \right)^2 = \frac{17}{18}}$

$x+\frac{1}{3} =\pm\sqrt{\frac{17}{18}} }$

Solving $\sqrt{\frac{17}{18}}$

$\sqrt{\frac{17(18)}{18(18)}}= \sqrt{\frac{306}{324}}=\frac{3\sqrt{34} }{18} =\frac{\sqrt{34} }{6}$

Then,

$x+\frac{1}{3} =\pm\frac{\sqrt{34} }{6}$

$x =-\frac{1}{3} \pm\frac{\sqrt{34} }{6}$

$x_{1}=-\frac{2+\sqrt{34}}{6}$

$x_{2}=-\frac{2-\sqrt{34}}{6}$

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3 years ago

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2 years ago

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Are the two expressions in the equation 2b + 5 + 1b = 3b + 5 equal or equivalent? How do you know

vodka [1.7K]

Given:

The expression is

$2b+5+1b=3b+5$

To find:

Whether the two expression in the equation are equal or equivalent.

Solution:

If two expression are exactly the same, then they are equal and if the two expressions are different but the after simplification both are same, then they are called equivalent expressions.

We have,

$2b+5+1b=3b+5$

Taking LHS, we get

$LHS=2b+5+1b$