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hjlf
3 years ago
11

What is the answer to X^2-61=20

Mathematics
1 answer:
Reika [66]3 years ago
7 0
X^2 -61 =20
X^2= 81x =9 x=-9
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Please help with 6 and 7
Ilya [14]

Answer:

6. The number is -5

7. The two numbers are 10 and 11

Step-by-step explanation:

Question six can be re-worded to create the following expression:

-2=\frac{4x+10}{5}

Solve for x to find the number:

-2=\frac{4x+10}{5}\\-10=4x+10\\-20=4x\\\frac{-20}{4} = x\\-5 = x

Question seven can be solved by first listing the constraints (assuming x is smaller than y):

  1. x and y are less than 20
  2. x + 1 = y
  3. 3x - 8 = 2y

To get the numbers, we can create a system of linear equations. First, solve for y in each expression:

y = x+1

2y = 3x-8\\y = \frac{3}{2}x - 4

Solve for x:

x+ 1 = \frac{3}{2}x - 4\\x + 5 = \frac{3}{2}x\\5 = \frac{3}{2}x - x\\5 = \frac{1}{2}x\\10 = x

Solve for y:

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4 0
1 year ago
Read 2 more answers
Solve 6(x+1)3−10=740
Vera_Pavlovna [14]

Answer:

x=122/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6(x+1)(3)−10=740

18x+18+−10=740(Distribute)

(18x)+(18+−10)=740(Combine Like Terms)

18x+8=740

18x+8=740

Step 2: Subtract 8 from both sides.

18x+8−8=740−8

18x=732

Step 3: Divide both sides by 18.

18x

18

=

732

18

x=

122

3

Answer:

x= 122/3

3 0
3 years ago
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