Question

answer this question fast

Answer 1

$\huge\bold\orange{Answer:-}$

$\boxed{a = 3}$


and


$\boxed{b = - 6}$




$\bold{Step\: by\:step \:explanation}$








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Answer 2

$\bold{\large{\underline{Solution\: \colon}}}$

Given : x = $\dfrac{2}{3}$ ; x = -3

To find : a , b

Solution :

ax² + 7x + b = 0

Put the value of x

$ax^{2}\: + \: 7x \: + \: b \: = \: 0$

$a(\dfrac{2}{3})^{2}\: + \: 7 \dfrac{2}{3} \: + \: b \: = \: 0$

$a(\dfrac{4}{9})\: + \: 7 \dfrac{2}{3} \: + \: b \: = \: 0$

$\dfrac{4a}{9} \: + \: b \: = \: \dfrac{-14}{3}$

$\dfrac{4a\: + \: 9b}{9}\: = \: \dfrac{-14}{3}$

$4a \: + \: 9b \: = \: -14 \times 3$

$4a \: + \: 9b \: = \: - 42$

Put the second value of x

$a(-3)^{2}\: + \: 7(-3) \: + \: b \: = \: 0$

$9a \: + \: b \: = \: 21$

b = ( 21 - 9a )

4a + 9(21 - 9a) = -42

4a + 189 - 81 a = -42

-77a = - 42 - 189

-77a = -231

$\boxed{\boxed{a \: = \: 3}}$

Put the value of " a "

b = ( 21 - 9a )

b = ( 21 - 9×3)

b = 21 - 27

$\boxed{\boxed{b \:=\: - 6}}$

a & b are 3,-6 respectively

Thanks