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3 years ago

Simplify the expression (2x-6) - (4x+4)

Mathematics

1 answer:

ollegr [7]3 years ago

5 0

Answer:

-2x - 10

Step-by-step explanation:

(2x-6) - (4x+4) multiply (4x+4) by -1 -1(4x + 4) = -4x - 4

2x - 6 - 4x - 4 Re-arrange

2x - 4x - 6 - 4

-2x - 10

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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 .

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3 years ago

Read 2 more answers

Find the slope(11,-18) (-1,-7)

mestny [16]

Answer:

-11/12

Step-by-step explanation:

→ Find change in y

-7 --18 = 11

→ Find change in x

-1 - 11 = -12

→ Divide each other

-11/12

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you want to predict which movie will be the most popular among the students at your school next weekend. To do so, you ask a sam

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3 years ago

Simplify the expression (2x-6) - (4x+4)​

Simplify the expression (2x-6) - (4x+4)