3 years ago

Which equation applies the distributive property?

1 answer:

3 0

The distributive property dictates that:
a(b + c) = ab + ac
Thus,
(0.7 x 0.7) + (0.7 x 0.9) + (0.7 x 0.2)
= 0.7(0.7 + 0.9 + 0.2)
follows the distributive property. The third option is correct.

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If x=2/3 and x=-3 are the roots of the equation ax^2+7x+b=0 find the values of a and b

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<u>ANSWER: </u>

If x = $\frac{2}{3}$ and x = -3 are the roots of the equation, then values of a and b are 3, -6

<u>SOLUTION: </u>

Given, quadratic equation is $a x^{2}+7 x+b=0$ and its roots are -3 , $\frac{2}{3}$

We know that, for any quadratic equation of form $a x^{2}+b x+c=0$ with roots $x_{1} and x_{2}$ then,

Sum of roots $(x_{1} +x_{2})$ = $\frac{-b}{a}$

Product of roots ( $x_{1} \times x_{2})$ = $\frac{c}{a}$

Now, for given quadratic equation $x_{1}$ = -3 and $x_{2}$ = $\frac{2}{3}$

hence Sum of roots = $\frac{-7}{a}$

$x_{1} + x_{2} = \frac{-7}{a}$

$-3 + \frac{2}{3} = \frac{-7}{a}$

on solving we get "a" = 3

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