Math, asked by redpanda20, 9 hours ago

the roots of the quadratic equations
x {}^{2}  - 5x \:  + 6 = 0

Answers

Answered by tabassumjsmhs
1

Answer:

Answer: Using the quadratic formula, the roots of the equation x2 - 5x + 6 are 2 and 3.

Step-by-step explanation:

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Answered by prettykitty664
3

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Answer: Using the quadratic formula, the roots of the equation x2 - 5x + 6 are 2 and 3.

Let's find the roots of the given quadratic equation.

Explanation:

x= [-b + √ b2 - 4ac] / 2a ---------(1)

or x= [-b - √ b2 - 4ac] / 2a --------(2)

On substituting the values of a = 1, b = - 5 and c = 6 in (1), we get

⇒ [-(-5) + √ {(-5)2 - 4(1)(6)}] / 2 (1)

⇒ [5 + √ {25 - 24}] / 2

⇒ [5 + √1] / 2

⇒ 6 / 2

⇒ 3

On substituting the value a = 1, b = - 5 and c = 6 in (2), we get

⇒ [-(-5) - √ {(-5)2 - 4(1)(6)}] / 2(1)

⇒ [5 - √ {25 - 24}] / 2

⇒ [5 - √1] / 2

⇒ 4 / 2

⇒ 2

Thus. the roots of the equation x2 - 5x + 6 are 2 and 3

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I hope it will help you ☺️✌️

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