Select Page

## Algebra-1 Worksheets

Home | Online Math Tutoring | Algebra1-Tutoring | Solving Quadratic Equations

### Schedule a Free session to clear worksheet doubts The polynomial equation of second degree is called a quadratic equation.

The general form of quadratic equation is ax2 + bx + c = 0, where a, b, c are real numbers and.

## We can solve quadratic equations by following methods –

1- Factorization

2- Completing the square

## 1) Factorization

In factorization we split the middle term into two parts such that the product of first term and the last term is equal to the product of the two splitted parts, then we perform grouping and at last we put both the brackets equal to zero to find out the required solutions.

Exampley2 + y – 2 = 0

Finding solutions of the given equation

y2 + 2yy – 2 = 0 (Splitting the middle term)

y(y + 2) – 1(y + 2) = 0

(y + 2) (y – 1) = 0 (Grouping)

Either (y + 2) = 0 or (y – 1) = 0

y = -2 or y = 1 are the required solutions.

## 2) Completing the square –

First we make coefficient of x2 as 1 by dividing the equation by a, then bring constant to the right side and then making left side perfect square by adding suitable constant both sides. After that we will take square root of both sides and finally we will solve for x.

Example s2-3s-10=0

s2-3s=10 ## Personalized Online Tutoring

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades 2-12, Test Prep help for Standardized tests like SCAT, CogAT, SSAT, SAT, ACT, ISEE and AP. You may schedule online tutoring lessons at your personal scheduled times, all with a Money-Back Guarantee. The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required.

For answers/solutions to any question or to learn concepts, take a FREE Demo Session.

No credit card required, no obligation to purchase.
Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!

First, compare the given equation with the general equation ax2 + bx + c, then put the values of a, b, c in the quadratic formula Example -2x2+5x-6=0

Putting value after comparing with general equation  1) Any number when putting in place of variable if satisfies the equation is called the root of the equation.

2)  Zeros of  ax2 + bx + c and roots of ax2 + bx + c=0  are same.

## Check point

1) x2 + 15x + 56 = 0

2) a2 + 9a + 20 = 0

3) b2 + 2b – 4 = 0

4) y-(6/y) =5

5) p2 – 5p + 6 = 0

1)   -7, -8

2)    -5, -4

3)    -1+ squareroot(5), -1-squareroot(5)

4)      6, -1

5)       2, 3

### Schedule a Free session to clear worksheet doubts

No credit card required, no obligation to purchase.
Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!

## Pricing for Personalized Online Tutoring

New Student Special (5 sessions) 1 Month \$89 \$99
1 session 1 Month \$22 \$24
5 sessions 3 months \$104 \$114
10 sessions 3 months \$199 \$219
15 sessions 3 months \$289 \$319
20 sessions 4 months \$379 \$409
50 sessions 6 months \$899 \$949 Our mission is to provide high quality online tutoring services, using state of the art Internet technology, to school students worldwide.

Connect with us
+1-269-763-4602
+1-269-763-5024

Online test prep and practice
SCAT
CogAT
SSAT
ISEE
PSAT
SAT
ACT
AP Exam

Science Tutoring
Physics Tutoring
Chemistry Tutoring
Biology Tutoring

English Tutoring
Writing
Grammar

Site by Little Red Bird Our mission is to provide high quality online tutoring services, using state of the art Internet technology, to school students worldwide.

Connect with us
+1-269-763-4602
+1-269-763-5024

Online test prep and practice
SCAT
CogAT
SSAT
ISEE
PSAT
SAT
ACT
AP Exam

Science Tutoring
Physics Tutoring
Chemistry Tutoring
Biology Tutoring

English Tutoring
Writing
Grammar