Answer:
1.
3x^2+2=5
3x^2+2-5=0
3x^2-3=0
3x^2=3
x^2=1
x=±[tex]\sqrt{1}[/tex]
= 1 OR -1 (Both 1^2 and -1^2 lead to 1)
2.
x^2+9x+14=0
(x+2)(x+7)=0
x+2=0 OR x+7=0
x=-2 OR x=-7
3.
x^2-2x+1=0
(x-1)(x-1)=0 (Factorise by algebraic identity= a^2-2ab+b^2, which is (a-b)^2)
x-1=0
x=1
4.
4x^2-4x=-1
4x^2-4x+1=0
(2x−1)(2x−1)=0 (Factorise by algebraic identity= a^2-2ab+b^2, which is (a-b)^2)
2x-1=0
2x=1
x=1/2
5.
x^2-5x+6=0
(x−2)(x−3)=0 (Factorise by algebraic identity= a^2-2ab+b^2, which is (a-b)^2)
x-2=0 OR x-3=0
x=2 OR x=3
*NOTE*: Quadratic equations follow this format -> ax^2+bx+c, where a≠0 and x is the unknown
Hope this helped! :>
