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2 years ago

Solve the equation 0 = x^2 + 4x − 6 for exact values.

Mathematics

1 answer:

koban [17]2 years ago

6 0

Answer:

x = -2 ± √10

Step-by-step explanation:

x^2 + 4x − 6 = 0

Method I - Solve by completing the square

Add 6 to both sides

x^2 + 4x = 6

use half the x coefficient (4/2 = 2) as the complete the square term.

(x + 2)² = 6 + 2²

(x + 2)² = 10

Take the square root of both sides

x + 2 = ±√10

subtract 2 from both sides

x = -2 ± √10

----------------------

M ethod II - Quadratic equation

x = [ -b ± √(b² - 4ac) ] / (2a)

x = [ -4 ± √ (4² - 4(1)(-6)) ] / 2

x = [ -4 ± √ (16 + 24) ] / 2

x = [ -4 ± √40 ] / 2

x = [ -4 ± √(4 * 10) ] / 2

x = [ -4 ± 2√10 ] / 2

x = -2 ± √10

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-1/2 + 4/9

stira [4]

Answer:

-1/18

Step-by-step explanation:

First, you have to change both fractions to have like denominators. The LCM of 2 and 9 is 18.

Second, you have to multiply -1/2 by 9/9 to get a denominator of 18. -1/2 x 9/9 is - 9/18.

Third, you have to multiply 4/9 by 2/2 to get a denominator of 18. 4/9 x 2/2 = 8/18.

Fourth, -9/18 + 8/18 = -1/18

Hope this helps!

4 0

3 years ago

I need help 8th grade math

vladimir1956 [14]

Answer:

the slope shows that the average rating increased 0.4 points per month

Step-by-step explanation:

the equation is written in slope-intercept form. aka y=mx+b. m represents the slope and b represents the y-intercept. therefore in the equation y=0.4x+3 the slope is 0.4

hope this made sense and helped you for future problems :)

6 0

2 years ago

Read 2 more answers

Write the repeating decimal as a fraction

olga_2 [115]

Answer:

The correct answer is: $\frac{37}{90}$

Step-by-step explanation:

You're using Acellus, right?

Let me guess: Algebra I?

3 0

3 years ago

Read 2 more answers

the length of a rectangular parking lot at the airport is 2/3 is mile.if the area is 1/2 square mile,what is the width of the pa

ch4aika [34]

Answer:

3/4

Step-by-step explanation:

3/4*2/3+1/2

8 0

3 years ago

Find the equation of line b described below, in slope-intercept form

Serjik [45]

Given:

Line a is perpendicular to line b .

Line a passes through the points (1,-8) and (9,-12) .

Line b passes through the point (-8, -16).

To find:

The equation of b.

Solution:

Line a passes through the points (1,-8) and (9,-12) . So, slope of line a is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m_a=\dfrac{-12-(-8)}{9-1}$

$m_a=\dfrac{-12+8}{8}$

$m_a=\dfrac{-4}{8}$

$m_a=-\dfrac{1}{2}$

Product of slopes of two perpendicular lines is -1.

$m_a\times a_b=-1$

$-\dfrac{1}{2}\times a_b=-1$

$b=2$

Slope of line b is 2.

If a line passing through a point $(x_1,y_1)$ with slope m, then equation of line is

$y-y_1=m(x-x_1)$

Line b passing through (-8,-16) with slope 2. So, equation of line b is

$y-(-16)=2(x-(-8))$

$y+16=2(x+8)$

$y+16=2x+16$

Subtract 16 from both sides.

$y=2x$

Therefore, the equation of line b is $y=2x$ .

7 0

3 years ago