Verified answer

QUADRATIC EQUATION

Direction: Express the given equation in standard form (ax² +bx+c = 0). Identify the values of a, b, and c.

1) 3x² - 4 = 2x- 9

First, transpose 2x - 9 to the left side.

Then, solve the -4+9.

Thus, the standard form is 3x²-2x+5=0

• a = 3
• b = -2
• c = 5

2) 2(2x-5) = 4x (x - 1)

First, solve the 2(2x-5) and 4x(x-1).

Second, transpose 4x²-4x to the left side.

Lastly, solve the 4x+4x.

Therefore, the standard form is 4x²+8x-10=0.

• a = 4
• b = 8
• c = -10

NOTE:

• The standard form of a quadratic equation is ax²+bx+c=0.
• The value of a is the term ax².
• The value of b is the term bx.
• The value of c is the term c.

1.) 3x2 - 4 = 2x-9

• STANDARD FORM

3x²-2x+5=0

• VALUES OF A, B & C

a = 3

b = -2

c = 5

2.) 2(2x-5) = 4x (x - 1)

• STANDARD FORM

4x²+8x-10=0

• VALUES OF A, B & C

a = 4

b = 8

c = -10