Question

c) If one root of the equation 6x²-5x-6 is 3/2, the other root is :
a
b) 2/3
c) 1
d) - 1​

Answer 1

7\3 and 3\2

Step-by-step explanation:

Given equation is:

6x

2

−14x+9x−21=0

⇒2x(3x−7)+3(3x−7)=0

⇒(3x−7)(2x+3)=0

⇒x=

3

7

,x=−

2

3

Answer 2

Solution:

Given Equation,

→ 6x² - 5x - 6 = 0

• One of the roots of the equation is 3/2

Comparing the given equation with ax² + bx + c = 0, we get,

→ a = 6

→ b = -5

→ c = -6

We know that,

→ Sum of roots of a quadratic equation = -b/a

Here,

→ Sum of roots = -(-5)/6 = 5/6

Let the other root be x. According to the given condition,

→ x + 3/2 = 5/6

→ x = 5/6 - 3/2

→ x = (5 - 9)/6

→ x = -4/6

→ x = -2/3

∆ So, the other root is -2/3

Answer:

• x = 3/2, -2/3

•••♪