Question

9x²+6x+7 find products of equation​

Answer 1

Question :-

Find product of roots of the equation

9x² + 6x + 7 .

Answer :-

$\star \: \sf{sum \: of \: roots \: = \frac{ - 2}{3} }\\ \\ \star \: \sf{ product \: of \: roots \: = \frac{7}{9} }$

Explanation :-

Given equation is

→ 9x² + 6x + 7 ....eq.(1)

Here ,

• coefficient of x² is 9

• coefficient of x is 6

• constant term is 7

→ ax² + bx + c ....eq.(2)

comparing eq.(1) and (2)

→ a = 9 ,b = 6 and c = 7

We know that ,

$\star \: \sf{sum \: of \: roots \: = \frac{ -b }{a} } \\ \\ \rightarrow \boxed{\sf{ sum \: of \: roots \: = \frac{ - 6}{9} = - \frac{2}{3} }} \\ \\ \star \: \sf{ product \: of \: roots \: = \frac{c}{a} } \\ \\ \rightarrow \: \boxed{ \sf{ prouct \: of \: roots \: = \frac{7}{9} }}$

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Similar questions for practice :-

Q.(1) Find sun and product of roots ( zeros)

of the following Quadratic polynomial

(1) 2x² - 3x +6 = 0

(2) 3x² - 9x + 6 = 0

(3) 4x² + 6x + 15 = 0

(4) 5x² - 7x + 9 = 0

(5) 3x² + 7x - 8 = 0

Q.(2) Find the zeros of the following polynomials ,

(1) 2x² + 2x - 4 = 0

(2) x² + x - 2 = 0

(3) x² - 5x -6 = 0

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