Question

The standard form of the quadratic equation 3x2 = 4(5x – 3) is
A. 3x2 - 5x + 3 = 0
B.3x2 + 20x - 12 = 0
C. 3x2 – 20x + 3 = 0
D.3x2 - 20x + 12 = 0​

Answer 1

D. 3x² - 20x + 12 = 0

Step-by-step explanation:

Q.

The standard form of the quadratic equation 3x² = 4(5x - 3) is

A. 3x² - 5x + 3 = 0

B. 3x² + 20x - 12 = 0

C. 3x² - 20x + 3 = 0

D. 3x² - 20x + 12 = 0

Solution -

3x² = 4(5x - 3)

=> 3x² = 4(5x) + 4(-3)

=> 3x² = 20x + (-12)

=> 3x² = 20x - 12

=> 3x² - 20x = -12

=> 3x² - 20x + 12 = 0

Hence the option D. 3x² - 20x + 12 = 0 is correct.

It is in the standard form of quadratic equation ax² + bx + c = 0, here

a = 3

b = -20

c = 12

hope it helps.