Question

The product of the zeroes of the equation 2x2 - 5cx + 6 = 0 is​

Answer 1

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★ Sᴏʟᴜᴛɪᴏɴ :-

We need to find the product of the equation 2x² + 5cx + 6

As we know that ,

Product of roots of a quadratic equation = c/a

Where

• c → Constant term = 6
• a → coefficient of x² = 2

Substituting the values we have,

➵ 6 ÷ 2

➵ 3

Hence , product of zeroes of 2x² + 5cx + 6 = 3

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★ #LearnMore !

• Quadratic polynomial :- x² - (sum of roots)x + product of roots

• Quadratic formula :- x = - b±√b² - 4ac/2a

• Methods of finding roots :- factorisation , using quadratic formula , using PQ formula & squaring the terms .

• Sum of roots :- - b/a

• Product of roots :- c/a

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Answer 2

Answer:

Product of zeros = αβ = 3

Step-by-step explanation:

$\tt product \: of \: \: zeros \: = \frac{c}{a} = \frac{constant \: \: term}{coefficient \: \: of \: \: {x}^{2} }$

from Equation

• constant term = c = 6
• coefficient of x² = a = 2

$\boxed{ \tiny\tt Product \: \: of \: \: Zeros = 3 }$