Question

Write x^2 - 6x + 7 = 0 in the form (x - a)^2 = b, where a and b are integers.

(x - 4)^2 = 3

(x - 3)^2 = 2

(x - 2)^2 = 1

(x - 1)^2 = 4

Answer 1

@Whitemonsterbunny17 @ramit.dour @tester97

Answer 2

(x - 3)^2 = 2

Answer 3

\[(x-a)^2=b<=>x^2-2ax+a^2=b\]
IDENTIFICATION:-2a=-6<=>a=3;
\[x^2-6x+9=b<=>x^2-6x+9-b=0\]
IDENTIFICATION:9-b=7<=>b=2;
=>(x-3)^2=2

Answer 4

Thank you! Can you help me with another one?

Answer 5

sure

Answer 6

A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water:

graph of y equals minus 2 times the square of x plus 20 times x plus 400

What do the x-intercepts of the graph represent?

There were 20 larvae at 0 degrees Celsius.

There were 10 larvae at 0 degrees Celsius.

The water has no larvae at -10 degrees Celsius and 20 degrees Celsius.

The water has maximum larvae at -10 degrees Celsius and 20 degrees Celsius.

Answer 7

Its C right?

Answer 8

y=-2x^2+20x+400
x intercept results y=0;
\[-2x^2+20x+400=0<=>\Delta=3600;x1=-10;x2=20\]

Answer 9

C is right

Answer 10

Thank you!! I appreciate it!