2 years ago

Find the term that must be added to the equation x2−10x=1 to make it into a perfect square

Mathematics

1 answer:

adoni [48]2 years ago

6 0

Answer:

Step-by-step explanation:

If you add 25 to both sides, you get

x^2-10x+25=26.

Now, you can simplify the left side into a perfect square

(x-5)^2=26

You might be interested in

Solve this for Brainliest! See the attachment [Level - GCSE]

madreJ [45]

Answer:

$x = 3 + 4\sqrt{3}$

Step-by-step explanation:

OPQ is a right angle triangle.

Using Pythagoras

$x^{2} + (x+5)^{2} = (x+8)^{2}\\x^{2} + x^{2} + 10x +25 = x^{2} + 16x + 64\\x^{2} + x^{2} - x^{2} + 10x - 16x + 25 - 64 = 0\\x^{2} - 6x -39 = 0$

Using quadratic formula

$x = \frac{-b \± \sqrt{b^{2}-4ac}}{2a}\\x = \frac{-(-6) \± \sqrt{(-6)^{2}-4(1)(-39)}}{2(1)}\\x = \frac{6}{2} \± \frac{\sqrt{192}}{2}\\x = 3 \± \frac{8\sqrt{3}}{2}\\x = 3 \± 4\sqrt{3}$

$x = 3 + 4\sqrt{3} = 9.928(4s.f.)$

$x = 3 - 4\sqrt{3} = -3.928(4s.f.)$ (Length can't be negative)

∴ $x = 3 + 4\sqrt{3}$

3 0

2 years ago

Read 2 more answers

John had 5 apples, Jimmy took 4. How many apples does John have now?

Vika [28.1K]

one apple left you subtract 5 from 4 and get 1

6 0

3 years ago

Which of the following are not congruence theorems for right triangles? Check all that apply. A. LA

morpeh [17]

"AA" and "HH" are the two among the following choices given in the question that are not congruent theorems for right triangles. The correct options among all the options that are given in the question are option "C" and option "E". I hope that this is the answer that has actually come to your help.

5 0

3 years ago

You would need one gallon of water per day for yourself.Your horses need eight gallons of water each per day.How many gallons of

Bumek [7]

Answer:

answer varies on duration of trip

Step-by-step explanation:

it depends how long your trip is

4 0

2 years ago

Multiply. Write your answer in simplest form. 5/7 x 7/10

grandymaker [24]

5/7 × 7/10 = 35 / 70 = 1/2

6 0

2 years ago