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2 years ago

Solve the equation using the method of completing the square.

Mathematics

2 answers:

crimeas [40]2 years ago

4 0

Answer:

D) x = ± 2√5 - 4

Step-by-step explanation:

2x² + 16x - 8 = 0

Yah, i plugged this into m a t h w a y

(all of ur questions pretty much can use this app or website)

Furkat [3]2 years ago

3 0

Answer:

Step-by-step explanation:

Given

2x² + 16x - 8 = 0 ( divide through by 2 )

x² + 8x - 4 = 0 ( add 4 to both sides )

x² + 8x = 4

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(4)x + 16 = 4 + 16

(x + 4)² = 20 ( take the square root of both sides )

x + 4 = ± $\sqrt{20}$ = ± $\sqrt{4(5)}$ = ± 2 $\sqrt{5}$ ( subtract 4 from both sides )

x = - 4 ± 2 $\sqrt{5}$ → D

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Complete the following statements using m(x) = x² and n(x) = x – 3.

larisa [96]

Answer: x-3, 3, is not equal to

Step-by-step explanation:

7 0

2 years ago

For which value of x will the rational expression below be undefined? Check all that apply. (x-5)(x+2)/x+1 A. -5 B. -1 C. 1 D. 5

Tresset [83]

Answer:

B. -1

Step-by-step explanation:

<u>Given expression:</u>

(x-5)(x+2)/(x+1)

<u>This is undefined when the denominator is zero:</u>

x + 1 = 0
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Correct choice is B

3 0

2 years ago

Read 2 more answers

Please prove it for me

grigory [225]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

tanx = $\frac{1}{cotx}$

Consider the left side

$\frac{cotA-1}{cotA+1}$ ← divide terms on numerator/denominator by cotA

= $\frac{\frac{cotA}{cotA}-\frac{1}{cotA} }{\frac{cotA}{cotA}+\frac{1}{cotA} }$

= $\frac{1-tanA}{1+tanA}$

= right side , thus proven

7 0

2 years ago

Irrational number are

True [87]

Answer:

Numbers that never end and don't repeat either. In definition, an irrational number is a number that cannot be written as a simple fraction.

Step-by-step explanation:

Examples of irrational numbers are:

*All square roots of natural numbers, except perfect squares, are irrational.:

- $\sqrt{97}$ - $\sqrt{2}$ - $\sqrt{1001}$

*Pi is an irrational number

- $\pi$

4 0

3 years ago

Read 2 more answers

Solving equations (algebra). Thank you!

LenKa [72]

Answer:

$\large\boxed{\dfrac{1}{x^2}+x^2=23}$

Step-by-step explanation:

$\left(\dfrac{1}{x}+x\right)^2=25\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\\left(\dfrac{1}{x}\right)^2+2(x\!\!\!\!\diagup)\left(\dfrac{1}{x\!\!\!\!\diagup}\right)+x^2=25\\\\\dfrac{1}{x^2}+2+x^2=25\qquad\text{subtract 2 from both sides}\\\\\dfrac{1}{x^2}+x^2=23$

5 0

3 years ago