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4 years ago

Use the quadratic formula to solve the equation.

Mathematics

1 answer:

bixtya [17]4 years ago

6 0

X= (5+√5)/4
x= (5-√5)/4

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Please help! Thanks in advance.

alukav5142 [94]

In this problem, we need to plug in the given x values for $f(x)=0$ and find a and b.

When we plug in 1, we get: $2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0$

Simplify:
$2 - 5 - 14 + a + b = 0$
$- 17 + a + b = 0$
$a + b = 17$

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
$2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0$
$512 - 320 - 224 + 4a + b = 0$
$- 32 + 4a + b = 0$
$4a + b = 32$

Now we have our second one. We can combine them:
$a + b = 17 \\ 4a + b = 32$

I use elimination method which is easier here.

Multiply the top equation by -1: $- a - b = - 17 \\ 4a + b = 32$

Add them up:
$3a = 15$

Simplify:
$a = 5$

Now we have a, we can plug in one of those equations to find b:
$5 + b = 17$
$b = 17 - 5$
$b = 12$

So, the answers are $a=5$ and $b=12$ .

6 0

4 years ago

A recipe uses 5 cups of sugar for every 2 cups of sugar how much flour is used with 7 cups of sugar

zhenek [66]

Answer:

35 cups of flour is used with 7 cups of sugar

Step-by-step explanation:

5 0

3 years ago

What is this please help I need this completed

Arturiano [62]

Answer:

angles 3 and 4 both equal a 90 degree angle or bisect a 90 degree angle.

angle 5 is 44-degrees because it is complementary or vertical to the 44 degree angle.

x=32 because it is on the same line as the 44-degree angle and a line is 180 so 180-44=136 and to get the rest of x you would do the equation backwards so 136 divided by 4 is 34 and 36-2=32

angle a is 136 described above.

angle b, because it is on the same line as the 46 degree angle is 180-46=134

now im pooped :(

3 0

2 years ago

Read 2 more answers

MAKE SURE YOU ARE RIGHT ANSWER PLEASE I WILL PUT THE BRAINIEST ANSWER

Pavlova-9 [17]

Step-by-step explanation:

Formula:- 4/3*Pi*r^3

= 4/3*22/7*(1/2)^3

Please mark me as brainliest

8 0

3 years ago

A new car is purchased for 17600 dollars. The value of the car depreciates at 11.75% per year. What will the value of the car be

Liula [17]

Answer:

The answer would be 4,450

Step-by-step explanation:

6 0

3 years ago

Use the quadratic formula to solve the equation​.

Use the quadratic formula to solve the equation.