Can anybody help me with number 20....just number 20 plz?....thank u

Mathematics

1 answer:

MatroZZZ [7]3 years ago

6 0

The property used in #20 was called 'the distributive property'.

This property gets rid of the parenthesis and also gets the expression more simple.

x(y+b)
x*y + x*b ⇔ Notice the change here?

Answer would be: Distributive property

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$\large \boxed{\sf \ \ \ p=-11 \ \ \ }$

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Hello,

$\alpha \text{ and } \beta \text{ are the roots of the following equation}$

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It means that

$2\alpha^2+6\alpha-7=p \\\\2\beta ^2+6\beta -7=p \\\\$

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$2(2\beta)^2+6\cdot 2 \cdot \beta -7=p \\\\8\beta^2+12\beta -7=p\\\\ and \ 2\beta ^2+6\beta -7=p \ So \\\\\\8\beta^2+12\beta -7 = 2\beta ^2+6\beta -7\\\\6\beta^2+6\beta =0\\\\\beta(\beta+1)=0\\\\ \beta =0 \ or \ \beta=-1$