Question

Please help me with this.

Answer 1

Step-by-step explanation:

Given -

• ax² - 9x + 15 is a quadratic polynomial and product of its zeroes is -6

To Find -

Value of a

As we know that :-

• Product of zeroes = c/a

It means,

» -6 = 15/a

» a = 15/-6

• » a = -5/2

Hence,

The value of a is -5/2

Verification :-

ax² - 9x + 15

» -5x²/2 - 9x + 15 = 0

» -5x² - 18x + 30 = 0

As we know that :-

• αβ = c/a

» -6 = 30/-5

» -6 = -6

LHS = RHS

Hence,

Verified..

Answer 2

$\large{\boxed{\underline{\underline{\bf{\red{Answer:-}}}}}}$

$\implies$ a = -5/2

$\large\underline\mathrm{Given:-}$

ax² - 9x + 15 is a quadratic polynomial and product of its zeroes is -6.

$\large\underline\mathrm{To \: find}$

Value of a ?

$\large\underline\mathrm{Solution}$

$\implies$ products of zeroes = c/a

$\implies$ -6 = 15/a

$\implies$ a = -15/6

$\implies$ a = -5/2

$\large\underline\mathrm{Hence,}$

$\large\underline\mathrm{The \: value \: of \: a \: is \: -5/2}$

$\large\underline\mathrm{verification:-}$

$\implies$ ax² - 9x + 15

$\implies$ -5x²/1 - 9x + 15 = 0

$\implies$ -5x² - 18x + 30 = 0

$\implies$ αβ = c/a

$\implies$ -6 = 30/-5

$\implies$ -6 = -6

$\large\underline\mathrm{LHS = RHS}$

$\large\underline\mathrm{Hope \: it \: helps \: you \: plz \: mark \: me \: brainlist}$