Question

Solve , 2x^2+8=98 where is a real number.
Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".

Answer 1

Let's solve it, okay!

We want to get x all by itself
So first, we want to take the 8 to the other side

Do we subtract or add 8 on both sides?

Answer 2

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
Let's solve it, okay!

We want to get x all by itself
So first, we want to take the 8 to the other side

Do we subtract or add 8 on both sides?
\(\color{#0cbb34}{\text{End of Quote}}\)
subtract

Answer 3

Good! So

2x^2 + 8 - 8 = 98 - 8

the 8 on the left side cancels out so we have

2x^2 = 98 - 8

what is 98 - 8?

Answer 4

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
Good! So

2x^2 + 8 - 8 = 98 - 8

the 8 on the left side cancels out so we have

2x^2 = 98 - 8

what is 98 - 8?
\(\color{#0cbb34}{\text{End of Quote}}\)
90

Answer 5

Good! So now we have

2x^2 = 90

let's get x all by itself

do we have to divide 2 on both sides or multiply it?

(we're multiplying 2 with x^2 so we have to do the opposite of multiplication)

Answer 6

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
Good! So now we have

2x^2 = 90

let's get x all by itself

do we have to divide 2 on both sides or multiply it?

(we're multiplying 2 with x^2 so we have to do the opposite of multiplication)
\(\color{#0cbb34}{\text{End of Quote}}\)
divide

Answer 7

what do you get if you divide 2then

Answer 8

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
what do you get if you divide 2then
\(\color{#0cbb34}{\text{End of Quote}}\)
45

Answer 9

good so now we have

x^2 = 45

how would we solve for x?

Answer 10

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
good so now we have

x^2 = 45

how would we solve for x?
\(\color{#0cbb34}{\text{End of Quote}}\)
i forgot what its called but we use the radical?

Answer 11

Exactly!! radical / square root - it's the same thing

Answer 12

so

\( x = \sqrt{45}\)

use a calculator and what do you get?

Answer 13

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
so

\( x = \sqrt{45}\)

use a calculator and what do you get?
\(\color{#0cbb34}{\text{End of Quote}}\)
6.7?

Answer 14

remember your question says hundredths so add one more decimal

Answer 15

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
remember your question says hundredths so add one more decimal
\(\color{#0cbb34}{\text{End of Quote}}\)
6.71

Answer 16

Good! Now also remember when you take the square root or radical of something

you get an answer that plus or minus

because think of \(\sqrt{100}\) for example

\(\sqrt{100} = \pm 10\)

it equals 10 and -10
because 10 * 10 = 100
and (-10) * (-10) = 100

Answer 17

\(\color{#0cbb34}{\text{Originally Posted by}}\) @dwvdsv
6.71
\(\color{#0cbb34}{\text{End of Quote}}\)

so your answer is correct but -6.71 is another solution

Answer 18

Does that make sense?

Answer 19

yes it makes sense thank you :)

Answer 20

It was my pleasure! And welcome to QuestionCove!