SOLUTION: Find the solution the following quadratic equation
X^2-12x+144=0
X^2+3x-28=0
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Question 1091043: Find the solution the following quadratic equation
X^2-12x+144=0
X^2+3x-28=0
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The standard form of a quadratic function is where
is the quadratic term
is the linear term
is the constant term
discriminant tells us how many and what kind of roots quadratic function have
if quadratic function have two real roots
if quadratic function have one double root
if quadratic function have two complex roots
let check discriminant in your case
...... ->->->; so, your quadratic function will have have two complex roots
use quadratic formula to find roots:
1.
2.
let check discriminant in this case:
->->->; so, your quadratic function will have have two real roots
....factor completely
solutions:
if ->
if ->
Answer by ikleyn(52879) (Show Source): You can put this solution on YOUR website!
.
On solving quadratic equations, see the lessons
- Introduction into Quadratic Equations
- PROOF of quadratic formula by completing the square
- HOW TO solve quadratic equation by completing the square - Learning by examples
in this site.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this textbook under the topic "Quadratic equations".
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