What are the solutions to the equation x^2-8x=24

Answers

Answer 1

Answer: $x^(2) - 8x = 24$

Transposing the equation to give zero on the RHS:
$x^(2) - 8x - 24 = 0$

Since we can't factorise it directly, we must complete the square to yield any solutions:
$x^(2) - 8x + ( (8)/(2))^2 - ((8)/(2))^2 - 24 = 0$
$(x^(2) - 8x + 16) - 16 - 24 = 0$
$(x-4)^2 - 40 = 0$
$(x-4)^2 = 40$
$x-4 = +/- √(40)$ ––> because square rooting yields a positive and negative solution.
x = 4 +/- $√(40)$
x = 4 +/- $2 √(10)$

Correct me if I'm wrong anyone.

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Solve for x. 10x^2=29x-21 does anyone know this

Answers

$10x^2=29x-21 \n 10x^2-29x+21=0\n \Delta=(-29)^2-4\cdot10\cdot21=841-840=1\n √(\Delta)=\sqrt1=1\n x_1=(-(-29)-1)/(2\cdot10)=(28)/(20)=(7)/(5)\n x_2=(-(-29)+1)/(2\cdot10)=(30)/(20)=(3)/(2)\n$

38×24=
What's the answer?

Answers

38 x 24 = 912
You could use a calculator if u needed to

914 is your answer i hope this help you

Find 2 consecutive odd numbers given that difference between their resiprocal is 2/63

Answers

consecutive odd numbers are 2n+1, 2n+3

difference of reciprocals
1/(2n+1) - 1/(2n+3) = 2/63
((2n+3) - (2n+3))/(2n+1)(2n+3) =2/63
2/(4n^2 + 8n +3) =2/63
4n^2 + 8n +3 = 63
4n^2 + 8n -60 = 0
n^2 + 2n - 15 = 0
(n + 5)(n - 3) = 0
n = 3 (only positive)
numbers are 2(3)+1=7 and 9

Those odd numbers are nine and seven.

What is the least integer value in the solution set to 7(3x – 1) ≤ 4x? –1
2
3
7

Answers

Answer:

the answer is 3

Step-by-step explanation: just took the quiz on edge

Answer:

C or 3

Step-by-step explanation:

MARK ME THE BRAINLYIST

correct on edge 2021

Can some one show me how to do this

Answers

Divide both sides by 12 so you can get n by itself. you would divide 12n by 12 and you would get just n. You would also divide 36 by 12 which would be 3 so the answer is N=3.

12n=36 divide 12 to both side and you will get n=3

What is 24/40 in simplest form??

Answers

it is 3/5 because 40 divided by 8 is 5, and 24 divided by 8 is 3

Final answer:

The fraction 24/40 can be simplified to 3/5 by dividing both the numerator and the denominator by the greatest common divisor, which is 8.

Explanation:

To simplify the fraction 24/40, you have to find the greatest common divisor (GCD), also called the greatest common factor, for 24 and 40. The GCD refers to the largest integer that divides two numbers without leaving a remainder. In this case, the GCD for 24 and 40 is 8.

Now, divide both the numerator and the denominator of the fraction 24/40 by the GCD. This gives us:
24 ÷ 8 / 40 ÷ 8 = 3/5

So, the fraction 24/40 in simplest form is 3/5.

Learn more about Simplifying Fractions here:

brainly.com/question/26436699

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