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zysi [14]
3 years ago
13

Find the exact roots of x^2+10x-8=0 by completing the square

Mathematics
1 answer:
irinina [24]3 years ago
5 0
From the original equation x^2+10x-8=0, move the loose number on the other side. Your new equation will be x^2+10x=8. Moving an element from one side to another reverses its sign. From -8 to +8. Then take half of the x-term and square it and add it on both sides. X-term is 10x and 10 is the number, half of it is 5 then square of 5 is 25. Add 25 on both side. Your new equation will be x^2+10x+25=8+25. Then complete the square form of the left side of the equation, (x+5)^2=33. Square root both side then you will get x+5=squareroot of 33. Your x = -5 plus/minus squareroot of 33.
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What is 320/25 in a mixed number
sweet-ann [11.9K]
The answer will be 12 4/5
320/25 the you simplify by 5
64/5 ➗ by 5
12 4/5
7 0
3 years ago
Pls help i don’t know how to do this
Ne4ueva [31]

Step-by-step explanation:

to do what ?

the calculation of the 2 solutions for the quadratic equation is already done here.

so, what else do you need ? an explanation ?

in general, a quadratic equation looks like

ax² + bx + c = 0

and the formula for the solutions is

x = (-b ± sqrt(b² - 4ac))/(2a)

remember, a linear equation (x¹) has one zero solution.

a quadratic equation (x²) has 2 zero solutions.

a cubic equation (x³) has 3 zero solutions.

and so forth.

the 2 solutions here are created by the "±" operation. one solution is using the "+". and the other the "-". that is all.

so, what happened here was simply putting the values of the given equation into the solution formula and doing the calculations.

and the final line is saying that the solutions are the set of the 2 numbers represented by the "±" expression.

to finish this up for better clarity :

the first solution is

x = (-17 + sqrt(217))/4 = -0.567270034...

the second solution is

x = (-17 - sqrt(217))/4 = -7.932729966...

is there anything still unclear ? please let me know.

6 0
2 years ago
A computer randomly selects a number from the given set. {2, 4, 6, 9, 16, 44, 51, 60, 78} What is the probability that a number
nekit [7.7K]
You would find the probability of getting an answer less than 10 by counting all of the possible outcomes, or numbers that are less than 10 and compare them to the total number of possible outcomes, or the total number of numbers. You would write the ratio of predicted outcomes to total possibilities.

The answer would be 4/9.
3 0
3 years ago
Solve for y.
posledela

Answer:

y <−2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

6 0
2 years ago
Read 2 more answers
What is the volume of a rectangular solid that is 6 feet long, 4 feet wide, and 2 feet high?
AysviL [449]

Answer:

48 cubic feet

Step-by-step explanation:

V=lwh

V=6*4*2

V=48

6 0
3 years ago
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