Solve x^2-8x+5=0 using the completing-the-square method

Mathematics

1 answer:

eduard3 years ago

4 0

Answer:

x = 4 ± $\sqrt{11}$

Step-by-step explanation:

To complete the square

add (half the coefficient of the x- term)² to both sides

x² + 2(- 4)x + 16 + 5 = 16

(x - 4)² + 5 = 16 ( subtract 5 from both sides )

(x - 4)² = 11 ( take the square root of both sides )

x - 4 = ± $\sqrt{11}$ ( add 4 to both sides )

x = 4 ± $\sqrt{11}$ ← exact values

You might be interested in

Find the volume of this cylinder. Round to the nearest tenth. 16cm 4 cm [?] cm3

sergeinik [125]

I think it’s 4 cm..........

5 0

2 years ago

Read 2 more answers

What's 10 3/4 - 7 1/4?

leva [86]

$10 \frac{3}{4} - 7 \frac{1}{4} \\ \\ \frac{10 \times 4 + 3}{4} -7 \frac{1}{4} \\ \\ \frac{43}{4} - y \frac{1}{4} \\ \\ \frac{43}{4} - \frac{7 \times 4 + 1}{4} \\ \\ \frac{43}{4} - \frac{29}{4} \\ \\ \frac{43-29}{4} \\ \\ \frac{14}{4} \\ \\ \frac{7}{2} \\ \\ 3 \frac{1}{2} \\ \\ Answer: \fbox {3 \ 1/2} \ or \ \fbox {3.5}$

5 0

3 years ago

Hank bought 2.4 pounds of apples each pound cost $1.95 how much money was spent on the apples

skad [1K]

The total would be $4.68. It is $0.78 for 0.4 of a pound, and you multiply $1.95 two times aqnd add that to the $0.78

3 0

3 years ago

Read 2 more answers

How do you simplify 4x^6/2x-6

Ahat [919]

4x^6 / (2x - 6)

4x^6 / 2(x - 3)

2x^6 / (x - 3)

3 0

3 years ago

Read 2 more answers

Help please will give brainliest

FromTheMoon [43]

The tangent line is perpendicular to the radius from the center of the circle to the point of tangency.
ΔDCE is similar to ΔDBA
DC/DB=DE/DA
15/50=DE/40
DE=12

3 0

3 years ago