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2 years ago

I need step by step please 3(x-2)^2+1=13

Mathematics

1 answer:

Romashka-Z-Leto [24]2 years ago

7 0

Answer:

$x_{1} = 0. \: \: \: x_{2} = 4$

Step-by-step explanation:

$3(x - 2)^{2} + 1 = 3$

$3( {x}^{2} - 4x + 4) + 1 = 13$

${3x}^{2} - 12x + 12 + 1 = 13$

${3x}^{2} - 12x + 13 = 13$

${3x}^{2} - 12x = 0$

$x \times (x - 4) = 0$

$x = 0$

$x - 4 = 0$

$\boxed{\green{x_{1} = 0. \: \: \: x_{2} = 4}}$

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