quadratic equation question solution, Study notes of Mathematics

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a' is called the leading coefficient and 'c' is called the absolute term of f (x).

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2020/2021

Available from 07/05/2022

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1 | P a g e
Quadratic equation
Solve the following equation by using quadratic
formula.
(1) 6𝑥2-5x-4 = 0
Solution:
a = 6 , b = -5 , c = -4
by quadratic formula:
𝑥 = −𝑏±𝑏2−4𝑎𝑐
2𝑎
𝑥 = −(−5)±(−5)2−4(6)(−4)
2(6)
𝑥 = 25+96
12
𝑥 = 121
12
either
𝑥 = 5+11
12 𝑥 = 5−11
12
𝑥 = 16
12 𝑥 = −6
12
pf2

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1 | P a g e

Quadratic equation

Solve the following equation by using quadratic

formula.

2

  • 5x-4 = 0

Solution:

a = 6 , b = - 5 , c = - 4

by quadratic formula:

2

2

either

2 | P a g e

𝑥 =

𝑥 = −

S.S = {

,

}