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postnew [5]
3 years ago
9

What is the answer for -4-(7t-4)^2=-49

Mathematics
1 answer:
sleet_krkn [62]3 years ago
8 0
  • Answer:

<em>t₁ = (3√5 + 4)/7</em>

<em>t₂ = -(3√5 - 4)/7</em>

  • Step-by-step explanation:

<em>- 4 - (7t - 4)² = - 49</em>

<em>- (7t - 4)² = - 49 + 4</em>

<em>- (7t - 4) = - 45 | (-)</em>

<em>(7t - 4)² = 45</em>

<em>(7t - 4)² = 3√5</em>

<em>7t - 4 = ± 3√5</em>

  1. <em> 7t - 4 = 3√5 => 7t = 3√5 + 4 => t₁ = (3√5 + 4)/7</em>
  2. <em> 7t - 4 = - 3√5 => 7t = - 3√5 + 4 => t₂ = -(3√5 - 4)/7</em>

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