All categories

2 years ago

Find the values of a and b such that x^2-4x+9=(x+a)^2+b

Mathematics

1 answer:

m_a_m_a [10]2 years ago

6 0

Answer:

a = -2

b = 5

Step-by-step explanation:

We can identify the right side of the equation as completing the square. So, we simply complete the square for x² - 4x + 9 to find our answer,

Step 1: Isolate xs

x² - 4x = -9

Step 2: Complete the square

x² - 4x + 4 = -9 + 4

(x - 2)² = -5

Step 3: Move -5 over

(x - 2)² + 5

And we have our answer!

You might be interested in

Can anyone pls help me in dis

Charra [1.4K]

Step-by-step explanation:

The coordinates of point A (2,8) and C (5,2)

The measure of segment AC

$\sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$

$\sqrt{ {(5 - 2)}^{2} + {(2 - 8)}^{2} }$

$\sqrt{ {(3)}^{2} + {( - 6)}^{2} }$

$\sqrt{9 + 36}$

$\sqrt{45}$

$6.7 \: units$

8 0

2 years ago

-11 - (-7)= simplify

Inessa [10]

-11-(-7)
-11+7
Your answer is -4

8 0

2 years ago

Read 2 more answers

You plant flowers in your garden and only 75% of them sprout how many can you predict to sprout if you plant 20 seeds?

SSSSS [86.1K]

Well basically by reading this question, I believe that if 75% sprout of the 20 seeds your equation would look like this 20(0.75) 0.75 is basically a simplified version of the 75% just written as a decimal so basically your answer would be 15 seeds ( so I believe you will be able to predict that 15 seeds will sprout! Let me know if this was either, helpful or non- helpful! I hope you have done a wonderful job!

5 0

2 years ago

What is the unit rate of 4 ticket for 35$

Paraphin [41]

Answer:35/5 = 8.75$ per ticket

Step-by-step explanation:

7 0

2 years ago

The monthly salaries of a sample of 100 employees were rounded to the nearest ten dollars. they ranged from a low of $1,040 to a

never [62]

1720 - 1040 = 680
680/7 = 97.1

I would put them in intervals of 100

6 0

2 years ago