Question

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

Answer 1

• Answer:

t₁ = (3√5 + 4)/7

t₂ = -(3√5 - 4)/7

• 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

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