Solve for x. Enter the solutions from least to greatest. 6x^(2)+1=487 lesser x= greater x=

Isolate x^2 term: First, we need to isolate the x^2 term by subtracting 1 from both sides of the equation. 6x^2 + 1 - 1 = 487 - 1 6x^2 = 486Divide by 6: Next, we divide both sides of the equation by 6 to solve for x^2. 6x^2 / 6 = 486 / 6 x^2 = 81Take square root: Now, we take the square root of both sides to solve for x. Remember that taking the square root of a number yields both a positive and a negative solution. √x^2 = ±√81 x = ±9List solutions: We have two solutions for x: x = 9 and x = -9. To list them from least to greatest: lesser x = -9 greater x = 9

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for
x.
Enter the solutions from least to greatest.

6x^(2)+1=487
lesser
x=
greater
x=

Solve for $x$ . $\newline$ Enter the solutions from least to greatest. $\newline$ $6 x^{2}+1=487$ $\newline$ lesser $x=$ $\newline$ greater $x=$

View step-by-step help

Home

Math Problems

Algebra 1

Evaluate recursive formulas for sequences

Full solution

Q. Solve for

x

\newline

Enter the solutions from least to greatest.

\newline

6 x^{2}+1=487

\newline

lesser

x=

\newline

greater

x=

Isolate $x^2$ term: First, we need to isolate the $x^2$ term by subtracting $1$ from both sides of the equation. $6x^2 + 1 - 1 = 487 - 1$ $6x^2 = 486$
Divide by $6$ : Next, we divide both sides of the equation by $6$ to solve for $x^2$ . $\newline$ $\frac{6x^2}{6} = \frac{486}{6}$ $\newline$ $x^2 = 81$
Take square root: Now, we take the square root of both sides to solve for x. Remember that taking the square root of a number yields both a positive and a negative solution. $\newline$ $\sqrt{x^2} = \pm\sqrt{81}$ $\newline$ $x = \pm9$
List solutions: We have two solutions for x: $x = 9$ and $x = -9$ . To list them from least to greatest: $\newline$ lesser $x = -9$ $\newline$ greater $x = 9$