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2 years ago

What is the solution of the equation? Eliminate any extraneous solutions √3x + 28 - 8 = x

Mathematics

1 answer:

Alecsey [184]2 years ago

6 0

The answer to the solution is x=43+√249/2

I hope this helps.

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The sales tax rate is 7.3%. Lee buys a dvd collection priced at $66.

GaryK [48]

It is the third Hahahaha

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2 years ago

A TV that usually sells for $192.15 is on sale for 20% off. If sales tax on the TV is 6%, what is the price of the TV, including

faust18 [17]

Answer:

$162.94

Step-by-step explanation:

Because 20% off of 192.15 = $162.94 and

$153.72 + (6.0%) $9.22 = $162.94

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2 years ago

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2 years ago

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

likoan [24]

Answer:

Thus, the two root of the given quadratic equation $x^2+4=6x$ is 5.24 and 0.76 .

Step-by-step explanation:

Consider, the given Quadratic equation, $x^2+4=6x$

This can be written as , $x^2-6x+4=0$

We have to solve using quadratic formula,

For a given quadratic equation $ax^2+bx+c=0$ we can find roots using,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ ...........(1)

Where, $\sqrt{b^2-4ac}$ is the discriminant.

Here, a = 1 , b = -6 , c = 4

Substitute in (1) , we get,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\Rightarrow x=\frac{-(-6)\pm\sqrt{(-6)^2-4\cdot 1 \cdot (4)}}{2 \cdot 1}$

$\Rightarrow x=\frac{6\pm\sqrt{20}}{2}$

$\Rightarrow x=\frac{6\pm 2\sqrt{5}}{2}$

$\Rightarrow x={3\pm \sqrt{5}}$

$\Rightarrow x_1={3+\sqrt{5}}$ and $\Rightarrow x_2={3-\sqrt{5}}$

We know $\sqrt{5}=2.23607$ (approx)

Substitute, we get,

$\Rightarrow x_1={3+2.23607}$ (approx) and $\Rightarrow x_2={3-2.23607}$ (approx)

$\Rightarrow x_1={5.23607}$ (approx) and $\Rightarrow x_2=0.76393}$ (approx)

Thus, the two root of the given quadratic equation $x^2+4=6x$ is 5.24 and 0.76 .

7 0

2 years ago

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Debbie's city took a survey about a plan for a new park. The city surveyed 600 people. 60% of the people surveyed liked the plan

lukranit [14]

Hi there.

All we have to do to find out how many people like the plan is multiplication.

We multiply the total number of people by 60% - in decimal form.

600 · 0.6 = 360

360 people liked the plan.

6 0

3 years ago

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