Solve the equation for x, where x is a real number (5 points): -2x^2 + 6x + 4 = 5

1 answer:

6 0

Subtract 5 to both sides so that the equation becomes -2x^2 + 6x - 1 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
                                            x = [ -b ± √(b^2 - 4ac) ] / (2a)
                                            x = [ -6 ± √((6)^2 - 4(-2)(-1)) ] / ( 2(-2) )
                                            x = [-6 ± √(36 - (8) ) ] / ( -4 )
                                            x = [-6 ± √(28) ] / (-4)
                                            x = [-6 ± 2*sqrt(7) ] / (-4 )
                                            x =3/2 ± -sqrt(7)/ 2
The answers are 3/2 + sqrt(7)/2 and 3/2 - sqrt(7)/2.

You might be interested in

PLEASE HELP FAST! what is the length of segment AB? 10 12 13 15

ss7ja [257]

Answer:

Step-by-step explanation:

This triangle appears to be 5 units wide and 12 units tall.

Using the pythagorean theorem, a^2 + b^2 = c^2, we get 25 + 144 = 169 or 13^2.

Therefore the answer is 13.

4 0

3 years ago

Read 2 more answers

Find the rule and nth term for the sequence 4, 7, 10, 13, 16

mariarad [96]

7-4=3
10-7=3
13-10=3
we can see that this is an arithmetic sequence with a difference of 3
the nth term=the first term +(n-1) times the difference
so a(n)=4+3(n-1)

6 0

3 years ago

$210 at 8% for 7 years

Genrish500 [490]

The answer is $327.60

7 0

3 years ago

a box of chocolate contains 5 milk chocolate dark chocolate and 5 white chocolate you randomly selecting III chocolates the firs

nordsb [41]

Answer:

independent

Step-by-step explanation:

because each chocolate was a different flavor

5 0

3 years ago

Each side of an equilateral triangle measure 11 centimeters. To the nearest tenth of an centimeter, what is the length of the al

Orlov [11]

The length of the altitude is 9.5 cm.

The altitude bisects the base of the equilateral triangle (this is because the two sides emerging from the vertex are equal). This gives us a right triangle with leg 5.5 and hypotenuse 11. We use the Pythagorean theorem:

5.5² + h² = 11²
30.25 + h² = 121

Subtract 30.25 from both sides:
30.25 + h² - 30.25 = 121 - 30.25
h² = 90.75

Take the square root of both sides:
√h² = √90.75
h = 9.5

3 0

3 years ago