X squared -6x=7 for completing the square

1 answer:

8 0

Take 1/2 of linear coefient (-6), so 1/2 of -6 is -3
square it ( (-3)^2=9)
add that to both sides
$x^2-6x+9=7+9$
$x^2-6x+9=16$
factor perfect square trinomial
$(x-3)^2=16$
sqrt both sides, remember to take positive and negative roots
x-3=+/-4
add 3
x=3+/-4
x=-1 or 7

You might be interested in

The probability of getting less than 3 in a single throw of a dice is

BartSMP [9]

Answer:

There are two numbers {1,2} which is less than 3. so, required probability P(E) = 2/6 = 1/3.

Step-by-step explanation:

hope this helps

3 0

3 years ago

The Math Club is sponsoring a bake sale. If their goal is to raise at least $300, how many pies must they sell at $6.00 each in

soldi70 [24.7K]

Given:
bake sale at least $300
price of each pie is $6.00
let the number of pies be represented by x.

Write the inequality:
6x > 300

Solve the inequality:
6x > 300
÷6 ÷6
x > 50

Graph the inequality.
y = 6x

x is the number of pies sold; x at least 50 and gradually increases.
y is the total sales

4 0

3 years ago

Read 2 more answers

Directed line segment AB has endpoints A(2,3) and B(8,15). Point P has coordinated P(6,11). What ratio does P partition AB into?

Vladimir79 [104]

Refer to the graph shown below. It confirms that points A, B and P are
collinear.

Calculate the length of AP (as a).
a = √[(6 - 2)² + (11 - 3)²]
= 8.9443

Calculate the length of BP (as b).
b = √[(8 - 6)² + (15 - 11)²]
= 4.4721

Calculate ratio a/b.
a/b = 8.9443/4.4721 = 2
Therefore P partitions AB in a 2:1 ratio so that AP = 2*BP.

Answer: 2:1 ratio.