Solve (x)^(2)-3\times+2=0 | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$${ x }^{ 2 } -3 \times +2=0$$

Solve for x

$x=\sqrt{6}\approx 2.449489743$
$x=-\sqrt{6}\approx -2.449489743$

Steps by Finding Square Root

Steps Using the Quadratic Formula

Steps by Finding Square Root

Multiply $3$ and $2$ to get $6$.

$$x^{2}-6=0$$

Add $6$ to both sides. Anything plus zero gives itself.

$$x^{2}=6$$

Take the square root of both sides of the equation.

$$x=\sqrt{6}$$ $$x=-\sqrt{6}$$

Steps Using the Quadratic Formula

Multiply $3$ and $2$ to get $6$.

$$x^{2}-6=0$$

This equation is in standard form: $ax^{2}+bx+c=0$. Substitute $1$ for $a$, $0$ for $b$, and $-6$ for $c$ in the quadratic formula, $\frac{-b±\sqrt{b^{2}-4ac}}{2a}$.

$$x=\frac{0±\sqrt{0^{2}-4\left(-6\right)}}{2}$$

Square $0$.

$$x=\frac{0±\sqrt{-4\left(-6\right)}}{2}$$

Multiply $-4$ times $-6$.

$$x=\frac{0±\sqrt{24}}{2}$$

Take the square root of $24$.

$$x=\frac{0±2\sqrt{6}}{2}$$

Now solve the equation $x=\frac{0±2\sqrt{6}}{2}$ when $±$ is plus.

$$x=\sqrt{6}$$

Now solve the equation $x=\frac{0±2\sqrt{6}}{2}$ when $±$ is minus.

$$x=-\sqrt{6}$$

The equation is now solved.

$$x=\sqrt{6}$$ $$x=-\sqrt{6}$$