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Quadratic Equations - Coggle Diagram
Quadratic Equations
REFERENCES
https://byjus.com/
libguides.gprc.ab.ca/math/completingthesquare
https://www.cuemath.com/algebra/solving-quadratic-equations/
SOLİTİOUN OF QUADRATİC EQUATİONS
FACTORİNG
STEP 1 Divide both the sides of quadratic equation ax2 + bx + c = 0 by a. Now, the obtained equation is x2 + (b/a) x + c/a = 0.
STEP 2 Subtract c/a from both the sides of quadratic equation x2 + (b/a) x + c/a = 0.
COMPELETİNG SQUARE
Step 4) Factor the left side.
Notice that the factor always contains the same number you found in Step 3
Step 5) Take the square root of both sides.
Step 3) Take half of the coefficient of x, square it, then add that to both sides.
Step 2) Divide both sides by the coefficient of x-squared (unless, of course, it’s 1).
step 6) Solve.
Step 1) Put the x-squared and the x terms on one side and the constant on the other side.
QUADRATİC FORMULA
DEFİNİTİON OF THE QUADRATİC EQUATİONS
Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations. The general form of the quadratic equation is:
ax² + bx + c = 0
where x is an unknown variable and a, b, c are numerical coefficients. Here, a ≠ 0 because if it equals zero then the equation will not remain quadratic anymore and it will become a linear equation, such as:
bx+c=0
Thus, this equation cannot be called a quadratic equation.
The terms a, b and c are also called quadratic coefficients.
The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
