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qwelly [4]
3 years ago
13

When solving an equation in the form by taking square roots, how many solutions will there be?

Mathematics
2 answers:
harina [27]3 years ago
6 0

Answer:

Two

Step-by-step explanation:

When you solving square equation, you will have two solutions.

Here we are given ax^2 = c

We have to solve for x.

Divide both sides by a, we get

\frac{ax^2}{a} = \frac{a}{c}

Simplifying, we get

x^2 = \frac{a}{c}

In order to find the value of x, we need to get rid of square on the left side, so we need to take the square root on both sides, we get

\sqrt{x^2} = \sqrt{\frac{a}{c} }

x = ±\sqrt{\frac{a}{c} }

So you will have a positive number and a negative number.

Therefore, there are two solutions.

ss7ja [257]3 years ago
3 0
Normally two. However, one is often extraneous. 
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the axis of symmetry of a quadratic equation is x = –3. if one of the zeroes of the equation is 4, what is the other zero?
FinnZ [79.3K]
ANSWER

The other zero is

x =  - 10

EXPLANATION

The axis of symmetry serves as the midpoint of the two zeroes.


We were given that the axis of symmetry of the quadratic equation is
x =  - 3


We were also given that, one of the zeroes of the quadratic equation is
x = 4


Let the other zero of the quadratic equation be
x = p

,then, we apply the midpoint formula to find the value of
p

Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,




\frac{x_1 + x_2}{2}  = axis \: of \: symmetry

We substitute to obtain,

\frac{p + 4}{2}  =  - 3



We multiply through by 2 to get,

p + 4 =  - 6



This implies that,

p =  - 6 - 4

p =  - 10




3 0
3 years ago
Read 2 more answers
Q. Friday night’s hockey game was attended by 180 students. This is about 60 % of the school’s population. What is the total pop
OlgaM077 [116]

Answer:

The total population of the school is 300 students.

Step-by-step explanation:

Considering, we are working with percentage we can use the equation:

y = %x.

To fill in the equation you can use what you already know, 60% = 180

180 = 0.60x

To solve this, you can then divide both sides of the equation by 0.60. This will then give you your answer, 300 = x.

For checking, you can do 180 = 0.60(300) which will result in 180 = 180.

7 0
3 years ago
Gus started with a number he multiplied by 8 subtracted 12 divided by 4 and added 7 to get 50 show how to work backward to find
DanielleElmas [232]

Answer:

23

Step-by-step explanation:

This equation can be derived from the question

let a represent the initial number Gus started with

{[(a x 8) - 12] / 4 } + 7 = 50

subtract 7 from both sides of the equation

[(a x 8) - 12] / 4 } = 43

Multiply both sides of the equation by 4

(a x 8) - 12] = 172

Add 12 to both sides

8a =184

Divide both sides by 8

a = 23.

6 0
2 years ago
Also need help with this one!!
julsineya [31]
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5 0
2 years ago
the area of a square is given by s2 and the perimeter is given by 4s, where s is the side length of the square if the side lengt
RUDIKE [14]

Answer:

Area = s² = 4² = 16 sq. In.

Perimeter = 4s = 4(4) = 16 in.

3 0
3 years ago
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