Question

5x^(2)+32x+24

pls send the answer. ​

Answer 1

5x²+32x+24 :-

So this is a quadratic equation as it has the highest power 2 and it is in the quadratic standard form

ax² + bx + x where ,

( a= coefficient of x² , b= coefficient of x , c = constant )

So to solve a quadratic equation there are 3 steps

1. Factorization method
2. Perfect square method
3. Quadratic formula method

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By Quadraticformula,

So in quadratic formula we use ,

$\frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a}$

where a= coefficient of x² , b= coefficient of x , c = constant

$5 {x}^{2} + 32x + 24$

comparing it with ax² + bx + x

we get , a= 5 , b= 32 , c = 24

Putting values on the equation we get,

$\frac{ - 32 + - \sqrt{ {32}^{2} - 4(5)(24) } }{2(5)}$

$\frac{ - 32 + - \sqrt{1024 - 480} }{10}$

so taking 1 negative and 1 positive

$\frac{ - 32 + 4 \sqrt{34} }{10}$

and

$\frac{ - 32 - 4 \sqrt{34} }{10}$

So roots are

$\frac{ - 32 + 4 \sqrt{34} }{10}$

$\frac{ - 32 - 4 \sqrt{34} }{10}$