Solving Quadratic Equations by Factoring @MathTeacherGon

Solving Quadratic Equations by Factoring
a. Greatest Common Factor
b. Difference of Two Squares
c. Trinomial Factoring
d. General Trinomial Factoring

#quadraticequation
#solvingequations
#mathteachergon
#algebra

[MathTeacherGon]

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[jkhsk]

up coming g9 here, nag-aadvance learning

[BisayainHolland]

Who's here who don't like this subject yet still watching .. 😆

[ilovebl_]

For no. 6
X²+5x+6=0
(X+3) (x+2) since the two factors of 6 are 3 and 2 in which if you sum up this two the answer would be positive 5.
X+3=0 x+2=0
X=-3 x-2(these are the roots of the equation) .. Cause if you transpose positive 3 and positive 2 of course the answer would be negative.

[gayle]

Pov: nag aadvance learning ka na, bago pa mahuli ang lahat 😂

[senseenyei]

#6) ASSIGNMENT REPORT

(X1=-3, X2=-2)

[imchimatticus]

6. X^2 + 5X +6 = 0
6 could be like 3(2) where if we add we can get the sum of 5.
(X+3) (X+2) = 0
x+3=0 | x+2=0
x= -3 | x= -2

[yjlv]

thank you po! i'm a slow learner and minsan rin lutang ako sa school lalo kapag math time na so hindi talaga ako nakakasabay but with this i was able to understand how to factor ^^

[ItsSeated]

6, x²+5x+6=0
(x+3)(x-2)

6 = 3•2
3+2 = 5

[X1 = -3]
[X2 = 2]

[ghfndmc]

To solve the equation x² + 5x + 6 = 0, we can use factoring or the quadratic formula.

1. Factoring:
The equation can be factored as (x + 2)(x + 3) = 0.
To find the solutions, we set each factor equal to zero:
x + 2 = 0 or x + 3 = 0
Solving these equations, we find:
x = -2 or x = -3

Therefore, the solutions to the equation x² + 5x + 6 = 0 are x = -2 and x = -3.

2. Quadratic Formula:
The quadratic formula states that for any equation in the form ax² + bx + c = 0, the solutions are given by:
x = [-b ± √(b² - 4ac)] / 2a

For our equation, which is x² + 5x + 6 = 0, we have a = 1, b = 5, and c = 6.
Plugging these values into the quadratic formula, we get:
x = [-5 ± √(5² - 4(1)(6))] / 2(1)
Simplifying further:
x = [-5 ± √(25 - 24)] / 2
x = [-5 ± √1] / 2
x = [-5 ± 1] / 2

Therefore, the solutions using the quadratic formula are:
x = (-5 + 1) / 2 = -2
x = (-5 - 1) / 2 = -3

Again, the solutions to the equation x² + 5x + 6 = 0 are x = -2 and x = -3.

[carljames]

okay, this is literally a good teacher...I UNDERSTAND ITT!!thx to you, GON

[CyrusJamesVentura]

Ang galing nyo pong mag turo mas lalo kopong naintindihan dahil sainyo 😊

[ssbdids]

Can you make another like this but with the checking

[kaytin]

Thank youuu, i watched tons of yt math tutorials but this is the only one that helped. You're a good teacher! I hope I won't forget this until next schoolyear (yes im an upcoming grade 9 and i've been studying advanced) goodluck to me i guess. Anyways, thanks alot! God bless! :)

[hello_america_]

thank you this was relly helpfull for my upcoming gr9

[CyrusJamesVentura]

Sana po makapasa ako sa 1st quiz inulit ulit ko pa pong panoorin yung video nyo😊

[ronylsaranillo]

For Number 4: We can also factor the 3x² - 75 = 0 into (3x-15)(x+5) = 0 : Same result as yours. Thank you

[chamzvlog]

Thank you very much sir ang galinh nyu po mag explain 💙❤️

[Cirkrin]

Nag advance learning muna para di na magulohan mamaya, thank you po sir Gon!

[alvinlipio]

Sir, the answer in #4 is correct but I doubt with your computation, as far as I remember we cannot just disregard that 3 in the equation. Its better to show that 3x² - 75 is equal to (3x - 15)(x + 5) = 0. In this factor we can show the proper computation.