Mathematics: The sum of the roots of 2x2 + 8x - 3 = 0 Is

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The sum of the roots of 2x2 + 8x - 3 = 0 Is - id228308670370, dinapaul424

Ответ:

nayelimoormann

07.02.2022

Mathematics

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$2 {x}^{2} + 8x - 3 = 0$

$(x - ( \frac{ - 8 + \sqrt{88} }{4} ) \: )(x - ( \frac{ - 8 - \sqrt{88} }{4} ) \: ) = 0 \\$

Thus ;

$x - ( \frac{ - 8 + \sqrt{88} }{4} ) = 0 \\$

$x = \frac{ - 8 + \sqrt{88} }{4} \\$

This is one of the roots.

The other root is :

$x - ( \frac{ - 8 - \sqrt{88} }{4} ) = 0 \\$

$x = \frac{ - 8 - \sqrt{88} }{4} \\$

So sum of the roots is :

$\frac{ - 8 + \sqrt{88} }{4} + \frac{ - 8 - \sqrt{88} }{4} = \\$

$\frac{ - 8 - 8 + \sqrt{88} - \sqrt{88} }{4} = \\$

$\frac{ - 16}{4} = - 4 \\$

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We have faster way to find ;

Remember from now on ,

If the quadratic functions have two roots ,

Sum of the roots is finding by following equation :

$sum \: \: of \: \: the \: roots = - \frac{b}{a} \\$

$b = coefficient \: \: of \: \: x$

$a = coefficient \: \: of \: \: {x}^{2}$

So ;

$sum \: \: of \: \: the \: \: roots \: = - \frac{8}{2} \\$

$sum \: \: of \: \: the \: \: roots = - 4$

Done...

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Ответ:

hebrew1148

07.02.2022

Mathematics

Find the roots of

−

by solving for

Exact Form:

−

√

Decimal Form:

0.34520787

…

−

4.34520787

…

Step-by-step explanation:

I have used an Algebra calculator to check my answer given and my answer is correct.

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The sum of the roots of 2x2 + 8x - 3 = 0 Is

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