Solution to quadratic equation Quadratic formula -2 Examples with solution and checking

Lennie Carroll 2021-02-09 Answered
Solution to quadratic equation Quadratic formula -2 Examples with solution and checking
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Velsenw
Answered 2021-02-10 Author has 91 answers

The quadratic formula for an equation ax2+bx+c=0 is given by x=b±b24ac2a
Consider the quadratic equation x2+5x+6=0.
Compare the equation with standard form ax2+bx+c=0.
Here, a=1,b=5 and c=6.
Evaluate the solutions of the quadratic equation as follows.
x=5±524(1)(6)2(1)
x=5±25242
x=5±12
x=5+12orx=512
x=2 or x=3
Verification:
Substitute x=2 in the quadratic equation and verify the solution as follows.
(2)2+5(2)+6=0
410+6=0
0=0 (True)
Thus, the solution x=2 is verified.
Substitute x=3 in the quadratic equation and verify the solution as follows.
(3)2+5(3)+6=0
915+6=0
0=0 (True)
Thus, the solution x=3 is verified.

We have step-by-step solutions for your answer!

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

New questions