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3 years ago

Using the quadratic formula, what is the value of x for x^2-4+5=0

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

4 0

value of x is: x= i and x= -i

Step-by-step explanation:

We need to find the value of x from $x^2-4+5=0$ using quadratic formula.

The term is: $x^2+1=0$

The quadratic formula is:

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

Where a = 1, b=0,c=1

Putting values:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{0\pm\sqrt{(0)^2-4(1)(1)}}{2(1)}\\x=\frac{\pm\sqrt{-4}}{2}\\x=\frac{\pm2i}{2}\\x=\pm i$

So, value of x is: x= i and x= -i

Keywords: Quadratic formula

Learn more about quadratic formula at:

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The fracture strength of tempered glass averages 14.1 (measured in thousands of pounds per square inch) and has standard deviati

ololo11 [35]

Answer:

0.15866 is the probability of the average fracture strength of selected 100 pieces of glasses that of exceed 14.3.

Step-by-step explanation:

Given that, the strength of a tempered(x) a glass has average 14.1 and has standard deviation 2.

$\mu_x=14.1$ , $\sigma_x=2$

n=number of selected pieces= 100.

The probability that the average fracture strength of 100 pieces of this glass exceed 14.3 is

$P(\overline X>14.3)=P(\frac{\overline X-\mu_x}{2/\sqrt n}>\frac{14.3-14.1}{2/\sqrt{100}})$

$=P(\overline X>1)$

$=1-P(\overline X\leq 1)$

= 1 - 0.84134

=0.15866.

3 0

2 years ago

4/f + 11 =29 what does f =

Delvig [45]

$\frac{4}{f} + 11 = 29$

First, subtract '11' from each side.
$\frac{4}{f} = 29 - 11$

Second, subtract '29 - 11' to get '18'.
$\frac{4}{f} = 18$

Third, since we are solving for f, we have to get it by itself. Multiply each side by 'f'.
$4 = 18f$

Fourth, once again, we need to get 'f' alone. Divide both sides by 18.
$\frac{4}{18} = f$

Fifth, now that we have 'f' by itself, we can simplify the current fraction. To do so, we need to start off with listing the factors of 4 and 18 and find the greatest common factor (GCF).

Factors of 4: 1, 2, 4
Factors of 18: 1, 2, 3, 6, 9, 18

Out of the listed factors, 1 and 2 are the common factors, and since 2 is the highest number out of them, it is considered the greatest common factor. The GCF is 2.

Sixth, divide the numerator and denominator by the GCF (2).
$4 \div 2 = 2 \\ 18 \div 2 = 9$

Seventh, we can now rewrite our fraction in simplest form and switch sides.
$f = \frac{2}{9}$

Answer in fraction form: $\fbox {2/9}$
Answer in decimal form: $\fbox {0.2222}$

7 0

2 years ago

Read 2 more answers

A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along

mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$