Question

3(x+8)(x-8) =57.
solve the following quadratic equation
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Answer 1

3(x²-64)=57

x²=83

x=+/-√83....

Answer 2

Step-by-step explanation:

$\blue{ \bf{ \underline{ question \: : - }}}$

3(x+8)(x-8) =57

$\bigstar{ \bf{ \pink{ \underline{ \underline{ solution \: : - }}}}}$

$\implies{ \bf{(3x + 24) \: (x - 8) = 57}}$

$\implies{ \bf{ {3x}^{2} - 24x + 24x - 192 = 57}}$

$\implies{ \bf{ {3x}^{2}{ \cancel { - 24x + 24x}{ - 192 = 57}}}}$

$\implies{ \bf{ {3x}^{2} - 192 = 57}}$

$\implies{ \bf{ {3x}^{2} = 57 + 192}}$

$\implies{ \bf{ \ {3x}^{2} = 249}}$

$\implies{ \bf{ {x}^{2} = \frac{249}{3}}}$

$\implies{ \bf{ {x}^{2} = { \cancel{ \frac{249}{3}}}}}$

$\implies{ \bf{ {x}^{2} = 83}}$

$\implies{ \bf{x = \sqrt{83}}}$