The complex solution of a quadratic equation are (- 2 + i ) and
(- 2 - i ).
What is Quadratic equation?
An algebraic equation of the second degree is called a quadratic equation.
Given that;
A quadratic equation is;
3x² = -12x - 15
Now, The equation is written as;
3x² + 12x + 15 = 0
Take 3 common, we get;
3 (x² + 4x + 5) = 0
x² + 4x + 5 = 0
Factorize the equation by using Sridharacharya Formula;
x = - 4 ± √4² - 4*1*5 / 2*1
x = -4 ± √16 - 20 / 2
x = - 4 ± √-4 / 2
Since, √-1 = i
x = -4 ± 2i / 2
x = - 2 ± i
It gives two values of x as;
x = - 2 + i
And, x = - 2 - i
Hence, The complex solution of a quadratic equation are (- 2 + i ) and
(- 2 - i ).
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Answer:
<em>y = (x - 4) - 4 </em>
Step-by-step explanation:
m = 
(- 2, - 10)
(4 , - 4)
m = 
= 1
y + 4 = (x - 4) ⇒ <em>y = (x - 4) - 4</em>
The answer is = (x + 5y) (x + 7y)
Break the expression into two groups.
x^2 + 12xy + 35y^2
(x^2 + 5xy) (7xy + 35^2)
Factor out x from x^2 + 5xy: x(x + 5y)
Factor out 7y from 7xy + 35y^2: 7y(x + 5y)
=x(x + 5y) + 7y(x + 5y)
Next, factor out the common term (x+ 5y).
Answer = (x + 5y) (x + 7y)
For the answer to the question above asking wWhat is the length of a room that is 8.8 cm long and 3 cm wide on the blueprint if <span>a blueprint, the scale indicates that 8 cm represent 16 feet?
</span>The room is 22.4 feet long
8cm=16ft
9.8cm=?ft
8cm 9.8cm
______=______
16ft x ft
Cross multiply
8x=156.8
divide both sides by 8
x=19.6 ft
Answer: 267.
Step-by-step explanation:
When there is no prior information for the population proportion, then the formula we use to find the sample size to estimate the confidence interval :
, where z* = Critical z-value and E + amrgin of error.
Let p = proportion of packages of ground beef sold at a particular store that have an actual fat content exceeding the fat content stated on the label.
Since , we have no prior information about p. so we use above formula
with E = 0.06 and critical value for 95% confidence =z* =1.96 [By z-table ] , we get
Hence, the required sample size is 267.
