Solve the following equation using the quadratic formulax^2-8x 97 = 0
The answer choices are in the picture
Answers
Answer:
Option B
and
Step-by-step explanation:
we have
The formula to solve a quadratic equation of the form is equal to
in this problem we have
so
substitute in the formula
Remember that
Final answer:
To solve the equation x^2 - 8x + 97 = 0 using the quadratic formula, substitute the coefficients into the formula and simplify the expression. In this case, the equation has no real solutions.
Explanation:
To solve the equation x^2 - 8x + 97 = 0 using the quadratic formula, first identify the coefficients in the equation. The quadratic formula is given by x = (-b ± sqrt(b^2 - 4ac)) / (2a). In this case, a = 1, b = -8, and c = 97. Substitute these values into the quadratic formula and simplify the expression to find the value(s) of x.
Using the quadratic formula, we have x = (-(-8) ± sqrt((-8)^2 - 4(1)(97))) / (2(1)). Simplifying further, we get x = (8 ± sqrt(64 - 388)) / 2. Continuing the simplification, we have x = (8 ± sqrt(-324)) / 2. Since the square root of a negative number is not a real number, the equation has no real solutions.
Therefore, the answer is that there are no real solutions to the equation x^2 - 8x + 97 = 0.
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Related Questions
A cable cord is 78 meters long.Workers cut it into 30 pieces of equal length. How many centimeters long is each piece?
A square patio has an area of 197 square feet how long is each side of the patio to the nearest 0.05
What is the solution to the equation -5 =8m +12 /4
What is 78% of 550? (Percent calculations)
Answers
Answer:
The length is 65 cm and the width is 12 cm
Step-by-step explanation:
A = lw = 780
P = 2 (l+w) = 154
The length is 5 more than 5 times the width
l=5w+5
P = 2 (l+w) = 154
Divide each side by 2
2 /2 (l+w) = 154/2
l+w = 77
Substituting l = 5w+5
5w+5 +w = 77
6w+5 = 77
Subtract 5 from each side
6w +5-5 = 77-5
6w = 72
Divide each side by 6
6w/6 = 72/6
w = 12
Now lets find l
l = 5w+5
l = 5(12)+5
l = 60+5
l = 65
Answers
Answers
0.25 * X + 0.10 * Y = 12.05
X + Y = 59
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This means that:
X = 59 - Y
Which means that:
0.25 * (59 - Y) + 0.10 * Y = 12.05
0.25 * 59 - 0.25 * Y + 0.10 * Y = 12.05
Y (0.10 - 0.25) = 12.05 - 0.25 * 59
-0.15 * Y = -2.7
Y = (-2.7)/(-0.15)
Y = 18
---------
X + Y = 59
Therefore:
X + 18 = 59
X = 59 - 18
X = 41
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There are 41 quarters and 18 dimes.
Answers
Answer:
y = -x - 7
Step-by-step explanation:
As we move from the point (3, -4) to the point (5, -6), x increases by 2 and y decreases by 2. Thus, the slope of this line is m = rise / run = -2/2, or -1.
Starting with the general slope-intercept form of the equation of a straight line, we get y = mx + b => y = -1x + b.
Subbing -4 for y and 3 for x, we get
-4 = -1(3) + b, which yields b = -1
Thus, the desired equation is
y = -x - 1
Answers
assume that at least x or y=0
3(x-3)=0
therefor
3=0 or x-3=0
3=0 is false
therefor
x-3 mus equal zero
x-3=0
add 3 to both sides
x=3
Answers
Step-by-step explanation:
In mathematics, input and output are terms that relate to functions. Both the input and output of a function are variables, which means that they change. ... A simple example is y = x2 (which you can also write f(x) = x2). In such cases, x is the input and y is the output.