Question

What is quadractic equation whose has 6 and -7 roots

Answer 1

$if \: \alpha \: and \: \beta \: are \: roots \: of \: a \: \\ quadratic \: equation \: then$
$f(x) = {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ f(x) = {x}^{2} - (6 - 7)x + 6( - 7) \\f(x) = \bold{ {x}^{2} + x - 42 }$
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Answer 2

Answer:

Step-by-step explanation:

say about properties of roots of quadratic equation

First. If Alpha is greater than zero and beta is greater than zero then a and c are having same science this is the first property of roots of quadratic equation

Second if alpha and beta have opposite science then the product of the roots of is less than zero so they have opposite science this is a second equation of properties of quadratic equation

if a is equal to C then the roots are reciprocal to each other this is third equation of roots of quadratic equation

If a + b + C is equal to zero then the roots are 1 ,c/a

ax square + bx + c is equal to zero

Put x is equal to one is root

A + b + C is equal to zero

Alpha is equal to 1, beta is equal to X

Alpha + beta is equal to C by a

1 into beta is equal to C by a

Beta is equal to c/a

this is forth property of roots of quadratic equation

this is fifth roots of quadratic equation if a + b is equal to b then the roots are - 1 and-c/a

Alpha is equal to -1 then Alpha into b is equal to C by a then -1 into beta is equal to C then beta is equal to c/a

these are the first five properties of roots of quadratic equation

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