Algebra is a major branch of mathematics that includes relations and operations. It uses letters to represent some values and for solving equations. Algebra Formulas are used in Binomial Theorem, Difference of squares, Laws of Exponents etc. They are also used to solve quadratic equations.

The Algebra Formula for solving quadratic equation is,

The Algebra Formula for Binomial Theorem is,

Other Algebra Formulas are,

Related Calculators | |

Algebra Calculator | Algebra Division |

Algebra Factoring | Algebra Elimination Method Calculator |

Some solved problems on algebra are given below:

### Solved Examples

**Question 1: **Find the value of x in the quadratic equation 5x^{2} - 4x + 6 = 0 ?

** Solution: **

x^{2 }- 5x + 6 = 0

The formula for solving the polynomial equation is,

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

x = $\frac{5 \pm \sqrt{(5)^{2}-4(1)(6)}}{2(1)}$

x = $\frac{5 \pm \sqrt{25-24}}{2}$

x = $\frac{5 \pm \sqrt{1}}{2}$

x = $\frac{5 \pm \sqrt{1}}{2}$

x = $\frac{6}{2}$ or $\frac{4}{2}$

x = 3 or 2

**Question 2: **^{}

** Solution: **

7^{2} $\times$ 7^{5}

=^{ }7^{2+5}=^{ }7^{7}=^{ }823543

x

The formula for solving the polynomial equation is,

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

x = $\frac{5 \pm \sqrt{(5)^{2}-4(1)(6)}}{2(1)}$

x = $\frac{5 \pm \sqrt{25-24}}{2}$

x = $\frac{5 \pm \sqrt{1}}{2}$

x = $\frac{5 \pm \sqrt{1}}{2}$

x = $\frac{6}{2}$ or $\frac{4}{2}$

x = 3 or 2

7^{2} $\times$ 7^{5} = ?

7

=