Answered

IDNStudy.com, ang iyong destinasyon para sa malinaw at mabilis na mga sagot. Sumali sa aming interactive na platform ng tanong at sagot para sa mabilis at eksaktong tugon mula sa mga propesyonal sa iba't ibang larangan.

Write each quadratic equation in standard form a * x ^ 2 + bx + c = 0 then identify the values of a, b, and c.
1. 3x - 2x² = 6x
2. (x + 3)(x + 4) + 0
3. (x + 2)² = 3(x + 2)
4. 2x(x + 4) = (x - 3)²​

Sagot :

Srichowchowidn

Step-by-step explanation:

1.) 3x-2x²=6x

(transpose to the right si -2x² then change sign to become positive 2x². same to positive 3x, transpose it to the right then change to negative to become -3x)

=2x²+6x-3x=0

after that, combine like terms such as 6x and -3x

=2x²+3x= 0

the value of a is the number with x², which is 2x².

the value of b is the number with a variable only, without the exponent, which is 3x.

and for c, the value of c is the number without exponent and variable. in this equation the value is zero mainly because it doesn't have a constant.

a=2, b=3, c=0

2.) (x+3)(x+4)=0

=x²+4x+3x+12=0

=x²+7x+12=0

a=1, b=7, c=12

3.)(x+2)²=3(x+2)

=(x+2)(x+2)=3x+6

=x²+4x+4=3x+6

=X²+4x-3x-6+4=0

=x²+x-2=0

a=1, b=1, c= -2

4.) 2x(x+4)=(x-3)²

=2x²+8x= (x-3)(x-3)

=2x²+8x= x²-6x+9

=2x²-x²+8x+6x-9=0

=x²+14x-9=0

a=1, b=14, c= -9