Question

find the root of the equation 3x^_5x +2=0

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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Given -

• p(x) = 3x² - 5x + 2

To Find -

• Zeroes of the polynomial

Now,

→ 3x² - 5x + 2

By middle term splitt :-

→ 3x² - 3x - 2x + 2

→ 3x(x - 1) - 2(x - 1)

→ (3x - 2)(x - 1)

Zeroes are :-

→ 3x - 2 = 0 and x - 1 = 0

→ x = 2/3 and x = 1

Verification :-

As we know that :-

• α + β = -b/a

→ 2/3 + 1 = -(-5)/3

→ 2 + 3/3 = 5/3

→ 5/3 = 5/3

LHS = RHS

And

• αβ = c/a

→ 2/3 × 1 = 2/3

→ 2/3 = 2/3

LHS = RHS

Hence,

Verified...

It shows that our answer is absolutely correct.