Answer:
x = 7/5 or x = (-7)/5
Step-by-step explanation:
Solve for x over the real numbers:
49 - 25 x^2 = 0
Multiply both sides by -1:
25 x^2 - 49 = 0
x = (0 ± sqrt(0^2 - 4×25 (-49)))/(2×25) = ( ± sqrt(4900))/50:
x = sqrt(4900)/50 or x = (-sqrt(4900))/50
sqrt(4900) = sqrt(4×25×49) = sqrt(2^2×5^2×7^2) = 2×5×7 = 70:
x = 70/50 or x = (-70)/50
70/50 = 7/5:
x = 7/5 or x = (-70)/50
(-70)/50 = -7/5:
Answer:x = 7/5 or x = (-7)/5
