Question

Solve the following by quadratic formula x^2+48x-324=0

Answer 1

x² + 48x - 324 = 0

________ [GIVEN EQUATION]

• We have to solve it by using quadratic formula.

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» Quadratic formula :

x = $\dfrac{ - \: b \: ± \sqrt{ {b}^{2} \: - \: 4ac } }{2a}$

Given = x² + 48x - 324 = 0

Here..

a = 1

b = 48

c = - 324

=> x = $\dfrac{ - \: 48 \: ± \sqrt{ {(48)}^{2} \: - \: 4 \: \times \: 1 \: \times \: ( - 324) } }{2 \: \times \: 1}$

=> $\dfrac{ - \: 48 \: ± \sqrt{ 2304 \: + \: 1296} }{2 }$

=> $\dfrac{ - \: 48 \: ± \sqrt{ 3600} }{2 }$

=> $\dfrac{ - \: 48 \: ± 60 }{2 }$

» $\dfrac{-\:48\:+\:60}{2}$

=> $\dfrac{12}{2}$

=> 6

OR

» $\dfrac{-\:48\:-\:60}{2}$

=> $\dfrac{-108}{2}$

=> - 54

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* More information :

→ The quadratic equation ax² + bx + c = 0 is given by

$\dfrac{ - \: b \: ± \sqrt{ {b}^{2} \: - \: 4ac } }{2a}$

Here..

a, b and c are real numbers.

→ If b² - 4ac > 0

then two distinct real roots.

› If b² - 4ac = 0

then two real roots.

› If b² - 4ac < 0

then no real roots.

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Answer 2

Answer : x = 6 or -54

Steps :

Take a look at the attachment for the steps („• ֊ •„)