Question

find ง
the nature of root 2x² + 3x - 4=0​

Answer 1

Question

• Find the nature of root 2x² + 3x - 4=0.

⠀

Given

• Quadratic Equation

⠀⠀⠀⠀⠀⠀→ 2x² + 3x - 4 = 0

⠀

To find

• Nature of roots.

⠀

Solution

• In this question, we will find the discriminant (D) .

⠀

$\: \: \: \: \: \: \: \: \large{\boxed{\boxed{\sf{Discriminant (D) = b^2 - 4ac}}}}$

⠀

⠀❍ Here

• a = 2
• b = 3
• c = -4

⠀

$\tt\longmapsto{D = (3)^2 - 4(2)(-4)}$

⠀

$\tt\longmapsto{D = 9 + 32}$

⠀

$\bf\longmapsto{D = 41}$

⠀

⠀❍ Here D > 0 [ The discriminant of the given quadratic equation is greater than zero ]

⠀

Hence,

• The roots of the given Quadratic Equation will be real and distinct.

━━━━━━━━━━━━━━━━━━━━━━