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3 years ago

Complete the square to solve the equation below. x2 - 10x - 4 = 10

2 answers:

6 0

$x^2 - 10x - 4 = 10\\
x^2 - 10x - 14=0\\
x^2 - 10x +25-39=0\\
(x-5)^2=39\\
x-5=-\sqrt{39} \vee x-5=\sqrt{39}\\
x=5-\sqrt{39} \vee x=5+\sqrt{39}
$

koban [17]3 years ago

5 0

X^2 - 10x - 4 = 10
x^2 - 10x = 14
x^2 - 10x + 25 = 14 + 25
(x - 5)^2 = 39
x - 5 = sqrt 39
x = 5 (+-) sqrt 39

x = 5 + sqrt 39
x = 5 - sqrt 39

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