All categories

3 years ago

Solve the polynomial: 2x³-11x²+18x-8=0

Mathematics

1 answer:

kotykmax [81]3 years ago

7 0

Answer:

2/0.74

Step-by-step explanation:

To solve the polynomial, factorize it.

2x³-11x²+18x-8=0

After factorizing:

(x-2)(2x^2 - 7x +4) = 0

now, solve each bracket one by one:

x-2 = 0

x = 2

Then

2x^2 - 7x + 4 = 0

use quadratic formula t get 0.74

You might be interested in

What is the vertex and zeros of the function f(x)=x2−4x+3

loris [4]

Answer:

The vertex is (2,-9)

Step-by-step explanation:

7 0

3 years ago

Adolf earned 650 last week he paid 97.50 in federal income tax he paid one third that amount for state income tax and other taxe

igomit [66]

Answer:

520

Step-by-step explanation:

= 650 - (97.50 + 97.50/3)

= 650 - 130

= 520

8 0

2 years ago

The highest point in the United States is Mount McKinley in Alaska. Its summit is 20,335 feet above sea level. Badwater, a basin

miss Akunina [59]

Answer:

20,053

Step-by-step explanation:

20,335 - 282 = 20,053

5 0

3 years ago

Read 2 more answers

. If α and β are the roots of

Lostsunrise [7]

Answer:

$18x^2+85x+18 = 0$

Step-by-step explanation:

Given Equation is

=> $2x^2+7x-9=0$

Comparing it with $ax^2+bx+c = 0$ , we get

=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = $-\frac{b}{a}$

α+β = -7/2

Product of roots = αβ = c/a

αβ = -9/2

Now, Finding the equation whose roots are:

α/β ,β/α

Sum of Roots = $\frac{\alpha }{\beta } + \frac{\beta }{\alpha }$

Sum of Roots = $\frac{\alpha^2+\beta^2 }{\alpha \beta }$

Sum of Roots = $\frac{(\alpha+\beta )^2-2\alpha\beta }{\alpha\beta }$

Sum of roots = $(\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}$

Sum of roots = $\frac{49}{4} + 9 /\frac{-9}{2}$

Sum of Roots = $\frac{49+36}{4} / \frac{-9}{2}$

Sum of roots = $\frac{85}{4} * \frac{2}{-9}$

Sum of roots = S = $-\frac{85}{18}$

Product of Roots = $\frac{\alpha }{\beta } \frac{\beta }{\alpha }$

Product of Roots = P = 1

The Quadratic Equation is:

=> $x^2-Sx+P = 0$

=> $x^2 - (-\frac{85}{18} )x+1 = 0$

=> $x^2 + \frac{85}{18}x + 1 = 0$

=> $18x^2+85x+18 = 0$

This is the required quadratic equation.

5 0

2 years ago

Read 2 more answers

16 mm = cm 4 7/8 13/4

Alekssandra [29.7K]

Answer:

1 cm 6mm

Step-by-step explanation:

10mm=1cm

3 0

3 years ago