Question

Q.2) What is the solution of the
quadratic equation 4x^2-5x-6=0?​

Answer 1

Given Equation

• 4x² - 5x - 6 = 0

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To find

• Roots of the given equation.

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Solution

• By spiliting the middle term.

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→ 4x² - 5x - 6 = 0

→ 4x² - 8x + 3x - 6 = 0

→ 4x(x - 2) + 3(x - 2) = 0

→ (x - 2) (4x + 3) = 0

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★ Roots

→ x - 2 = 0

→ x = 2

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→ 4x + 3 = 0

→ 4x = -3

→ x = -3/4

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Hence, the required roots are

• x = 2 or x = -3/4.

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Answer 2

Answer:

2 , -3÷4

Step-by-step explanation:

4x²-5x-6=0

a=4 b= -5 c= -6

x = -b± √b²-4ac ÷ 2a

x= -(-5)±√(-5)²-4*4*(-6) ÷ 2*4

=5±√25+96 ÷ 8

= 5 ±√121 ÷ 8

= 5± 11 ÷ 8

= 16÷8, -6÷8

= 2 , -3÷4