Ask question

Ask question

All categories

3 years ago

9

Solve the equation for x, where x is a real number (5 points): -2x^2 + 5x - 10 = 3

1 answer:

KatRina [158]3 years ago

3 0

Subtract 3 from both sides so that the equation becomes -2x^2 + 5x - 13 = 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 = [ -5 ± √((5)^2 - 4(-2)(-13)) ] / ( 2(-2) )
                                      x = [-5 ± √(25 - (104) ) ] / ( -4 )
                                      x = [-5 ± √(-79) ] / ( -4)
Since √-79 is nonreal, the answer to this question is that there are no real solutions.

You might be interested in

Which of the following correctly completes the square for: x^2+2x=48

Ket [755]

Answer:

(x+1)²= 49, the answer is B

Step-by-step explanation:

x² + 2x = 48

x² + 2x + (2/2)² - (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² - (2/2)²]

(x+1)²= 49, the answer is B

4 0

3 years ago

Read 2 more answers

Lateral surface area

ivann1987 [24]

The answer is going to be <span>181.121506177483. hope that helped</span>

3 0

3 years ago

Lines x and y are parallel.

densk [106]

On the bottom line, the 106 and number 1 make a straight line and needs to equal 180 degrees.

This means number 1 = 180-106 = 74 degrees.

Because x and y are parallel, the top outside angle is the same as number 1.

6x +8 = 74

Subtract 8 from both sides:

6x = 66

divide both sides by 6:

x = 66 / 6

x = 11

Now you have x, replace x in the equation for 7x-2 to find that angle:

7(11) -2 = 77-2 = 75 degrees.

The three inside angles need to equal 180 degrees.

Angle 2 = 180 - 74 - 75 = 31 degrees.

7 0

2 years ago

Read 2 more answers

PLEASE HELP!!<br><br> what is the explicit formula for this sequence -7, -4, -1, 2, 5

trasher [3.6K]

Answer:

The explicit formula for the given expression is $a_n=-10+3n$ .

Step-by-step explanation:

The given sequence is

-7, -4, -1, 2, 5

The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.

The first term of the given AP is -7 and the common difference is

$-4-(-7)=-4+7=3$

The explicit formula for an AP is

$a_n=a+(n-1)d$

Where, a is first term, d is common difference and n is number of terms.

Substitute a=-7 and d=3 in the above equation.

$a_n=-7+(n-1)3$

$a_n=-7+3n-3$

$a_n=-10+3n$

Therefore the explicit formula for the given expression is $a_n=-10+3n$ .

6 0

3 years ago

What’s the answer of the equation:<br><br> 104mn + (-84mn) =36

inn [45]

Answer:

$1\frac{4}{5}mn$

Step-by-step explanation:

$104mn - 84mn = 36 \\ \\ 20mn = 36 \\ \\ 1\frac{4}{5}mn$

This what you can do unless you are solving for either variable.

I am joyous to assist you anytime.

8 0

3 years ago