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3 years ago

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

Mathematics

1 answer:

sleet_krkn [62]3 years ago

8 0

Answer:

t₁ = (3√5 + 4)/7

t₂ = -(3√5 - 4)/7

Step-by-step explanation:

- 4 - (7t - 4)² = - 49

- (7t - 4)² = - 49 + 4

- (7t - 4) = - 45 | (-)

(7t - 4)² = 45

(7t - 4)² = 3√5

7t - 4 = ± 3√5

7t - 4 = 3√5 => 7t = 3√5 + 4 => t₁ = (3√5 + 4)/7
7t - 4 = - 3√5 => 7t = - 3√5 + 4 => t₂ = -(3√5 - 4)/7

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