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Margarita [4]
2 years ago
9

Solve the equation by completing the square.x^2-10x+26=8Fill in the values of a and b to complete the solutions.Vo0x=a-√√bx=a+√

√b=< >

Mathematics
1 answer:
tester [92]2 years ago
8 0

Given the equation:

x^2-10x+26=8

Let's find the solution using the quadratic formula.

Equate to zero by subtracting x from both sides of the equation:

\begin{gathered} x^2-10x+26-8=8-8 \\  \\ x^2-10x+18=0 \end{gathered}

Apply the quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Where:

a = 1

b = -10

c = 18

Plug in the values in the equation and solve for x.

We have:

\begin{gathered} x=\frac{--10\pm\sqrt{-10^2-4(1)(18)}}{2(1)} \\  \\ x=\frac{10\pm\sqrt{100-72}}{2} \\  \\ x=\frac{10\pm\sqrt{28}}{2} \end{gathered}

Solving further:

\begin{gathered} x=\frac{10+\sqrt{7*4}}{2} \\  \\ x=\frac{10+\sqrt{7*2^2}}{2} \\  \\ x=\frac{10+2\sqrt{7}}{2} \\  \\ x=\frac{10}{2}\pm\frac{2\sqrt{7}}{2} \\  \\ x=5\pm\sqrt{7} \\  \\ x=5-\sqrt{7} \\ x=5+\sqrt{7} \end{gathered}

Therefore, the values of a and b are:

a = 5

b = 7

• ANSWER:

a = 5

b = 7

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Solve the equation y=-5x+24 y=4x-21
ryzh [129]

Answer:

x=5 y=-1

Step-by-step explanation:

y=-5x+24

y=4x-21

Since both equations are equal to y, we can set them equal to each other

-5x+24=4x-21

Add 5x to each side

-5x+5x+24=4x+5x-21

24 = 9x-21

Add 21 to each side

24+21 = 9x-21+21

45 = 9x

Divide by 9

45/9 = 9x/9

5 =x

Now we need to find y

y = 4x-21

y =4(5) -21

y =20-21

y =-1

5 0
4 years ago
Let g(x) = - 2x - 1. h(x) = - X+4. Find (h o g)(4).
zhenek [66]

Answer:

-1

Step-by-step explanation:

-2(-x+4) - 1

2x - 8 - 1

2(4) - 8 - 1

8 - 8 - 1

-1

4 0
3 years ago
The equation d=m/v. is m-d=v an equivalent equation?
RUDIKE [14]

Answer:

They are not equivalent equations

Step-by-step explanation:

d=m/v

Multiply each side by v

d * v = m/v *v

dv = m

Divide each side by d

dv/d = m/d

v = m/d

This is not the same as v = m-d

They are not equivalent equations

5 0
4 years ago
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​A helicopter company offers tours of the city. They charge $100 dollars initially, and then $50 for each additional person. The
ANTONII [103]

Answer:

100 + 50p = t <u>or </u>t = 100 + 50p

Step-by-step explanation:

We know that they charge 100 initially and then an addition 50 for each person.

We add 100 to 50 but we do not know the amount of people, which leaves it unknown (p)

The total cost (t) is also unknown which stays unknown until we calculate the amount of people.

6 0
2 years ago
Gabrielle's age is two times Mikhail's age. The sum of their ages is 45. What is Mikhail's age?
Fittoniya [83]

Answer:Gabrielle is 2*Mikhail:

G = 2M We will use this value for G next

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

G+M = 45 Now in this equation substitute for G, like this:

 

2M+M = 45

3M = 45 Divide both sides by 3

M = 15 This is Mikhail, and the problem says that:

G = 2(15) = 30

Gabrielle is 30 and Mikhail is 15, and 15+30 = 45 just like the problem says

Step-by-step explanation:

6 0
3 years ago
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