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Alika [10]
2 years ago
14

One of the two solutions to the equation $5x^2 - 11x - 36 = 0$ is $x = 4$. What is the other solution?

Mathematics
2 answers:
Firdavs [7]2 years ago
8 0

Following are the calculation to the given equation:

Given:

\to 5x^2 - 11x - 36 = 0

one solution:

x=4

To find:

other solution=?

Solution:

\to 5x^2 - 11x - 36 = 0\\\\\to 5x^2 - (20-9)x - 36 = 0\\\\\to 5x^2 - 20x+9x - 36 = 0\\\\\to 5x(x - 4)+9(x - 4) = 0\\\\\to (x - 4) (5x+9) = 0\\\\\to x - 4=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x+9 = 0\\\\\to x = 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x = -9\\\\\to x = 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = \frac{-9}{5}\\

Therefore, another solution is "-\frac{9}{5}".

Learn more:

brainly.com/question/3044722

Elodia [21]2 years ago
6 0

the other solution is\frac{-9}{5}

Answer:

Solution given:

5x^2 -11x-36=0

doing middle term factorization

we need to get 11 by subtracting product of 5 and 36.

5*36=180=2*2*3*3*5

we get 11 by subtracting 5*2*2-3*3=20-9

substituting value of 11 as (20-9)

now

5x^2 -(20-9)x-36=0open bracket

5x^2 -20x+9x-36=0

taking common from each two terms

5x(x-4)+9(x-4)=0

again taking common

(x-4)(5x+9)=0

either

x-4=0

x=4

or

5x+9=0

5x=-9

x=\frac{-9}{5}

Step-by-step explanation:

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What is 5 3/4 subtracted by 5/8
svet-max [94.6K]

Answer:

5\frac{1}{8}

Step-by-step explanation:

5 3/4 = 23/4

(23/4)2 = 46/8

46/8 - 5/8 = 41/8 = 5 1/8

7 0
3 years ago
50 POINTS!!
Charra [1.4K]

Answer:

FH=73

Step-by-step explanation:

We are given that a segment FH and G is the midpoint of FH.

FH=14x-4

FG=5x+9

We have to find the measure of FH.

When G is the midpoint of segment FH

Then , FG=GH

FH=FG+GH

Segment addition property

14x-4=FG+FG

Substitution property

14x-4=2FG

14x-4=2(5x+9)

14x-4=10x+18

14x-10x=18+4

4x=22

x=\frac{22}{4}=5.5

Substitute the values then we get

FG=5(5.5)+9=36.5

FG=GH=36.5

FH=14(5.5)-4=73

8 0
3 years ago
Can somebody please help me?
victus00 [196]

Answer:

D

Step-by-step explanation:

7 0
3 years ago
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Simplify
Schach [20]
2x + 7y + 3x + 4y 

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5x+11y
8 0
3 years ago
The average life of individual is 70 years. With a standard deviation of 5.5 years. Assume that the lives of these individuals i
Harlamova29_29 [7]

Answer:

The answer is below

Step-by-step explanation:

Given that:

mean (μ) = 70 years, standard deviation (σ)= 5.5 years.

a) The z score measures how many standard deviation a raw score is above or below the mean. It is given as:

z=\frac{x-\mu}{\sigma}, for a sample size of n, the z score is: z=\frac{x-\mu}{\sigma/\sqrt{n} }

Given a sample of 5 turtles, we have to calculate the z score for x = 60 and x = 80.

For x = 60:

z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{60-70}{5.5/\sqrt{5} } =-4.07

For x = 80:

z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{80-70}{5.5/\sqrt{5} } =4.07

The probability that a mean life of a random sample of 5 such turtles falls between 60 and 80 years = P(60 < x < 80) = P(-4.07 < z < 4.07) = P(z < 4.07) - P(z < -4.07) = 1 - 0 = 1 = 100%

b) The z score that corresponds to top 10% is -1.28.

z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\-1.28=\frac{x-70}{5.5/\sqrt{5} }\\ x-70=-3\\x=70-3\\x=67\ years

3 0
3 years ago
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