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posledela
3 years ago
9

Solve each equation using the quadratic formula. Find the solutions. 4x^2 - 8x + 1 = 0

Mathematics
2 answers:
AfilCa [17]3 years ago
7 0

Answer:

Solution is : x = 1 ± 0.5√3

Step-by-step explanation:

We have given quadratic equation:

4x² - 8x + 1 = 0

We need to find solution using quadratic formula.

i.e x = \frac{-b+(-)\sqrt{b^{2}-4ac } }{2a}

 Compare from general quadratic equation ax² + bx + c=0

Here a= 4 , b = -8 and c = 1

∴ x = -(-8)±√((-8)²-4·4·1) / 2·4

x = (8 ±√48 )/8

x = 1 ± 0.5√3 , This is the answer

kkurt [141]3 years ago
6 0

Answer:

1±√3/2  

Step-by-step explanation:

Given quadratic equation is :

4x²-8x+1=0            

Quadratic formula is :

x=(-b±√b²-4ac)/2a

ax²+bx+c=0 is standard quadratic equation.

Comparing given equation with standard equation,we get

a=4 ,  b=-8 and c=1

Putting above values in quadratic formula,we get

x=(-(-8)±√(-8)²-4(4)(1))/2(4)

x=(8±√64-16)/8

x=(8±√48)/8

x=(8±√16×3)/8

x=(8±4√3)/8

x=4(2±√3)/8

x=(2±√3)/2

x=1±√3/2    is the solution of given quadratic equation.

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a positive number times a positive number is a positive number.

a negative number times a negative number is a negative number.

and if you are multiplying 2 numbers with the same sign they will always be a positive number.

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if a bag has 22 orange 18 red and 8 blue marbles what is the probability, that I draw blue marble, keep it, then draw another bl
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Step-by-step explanation:

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3 years ago
In f(x) = 2x2 − 8x − 10, the y-intercept is ? at ? and the x-intercepts are (-1, 0) and ? .
IgorLugansk [536]
<h2>1.  y-intercept</h2>

\boxed{(0,-10)}

The quadratic function f(x)=2x^22-8x-10 represents a parabola. In fact, the graph of a quadratic function is a special type of U-shaped curve called a parabola. To find the y intercept, we set x=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ x=0 \rightarrow f(0)=-10 \\ \\ Then \ y-intercept: \\ \\ (0,-10)

<h2>2.  x-intercepts</h2>

\boxed{(-1,0) \ and \ (5,0)}

To find the other x-intercept, we must set y=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ y=0 \rightarrow 2x^2-8x-10=0 \\ \\ Using \ the \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \therefore x=\frac{-(-8) \pm \sqrt{(-b)^2-4(2)(-10)}}{2(2)} \\ \\ \therefore x_{1}=-1 \ and \ x_{2}=5

Therefore, the other x-intercept is (5,0). You can see both the y-intercept and the x-intercepts in the figure below.

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3 years ago
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pickupchik [31]

Answer:

942 cubic feet

Step-by-step explanation:

3 0
3 years ago
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