Answer:
I am French I answer in 2 ways I don’t know which you learn:
x²-x-72 = 0
b²-4ac = (-1)²-4(1×-72)=1+288 =289
Δ = 289
(-b-√Δ) /2a =(1-17)/2 = 16/2 =-8
(-b+√Δ) /2a = (1+17)/2 = 18/2=9
S { -8,9}
or
To solve the equation x^2 - x = 72, we can rearrange it to the form x^2 - x - 72 = 0 and then factorize or use the quadratic formula.
Let's factorize the equation:
x^2 - x - 72 = 0
(x - 9)(x + 8) = 0
Setting each factor to zero gives us:
x - 9 = 0 or x + 8 = 0
Solving these equations, we find:
x = 9 or x = -8
Therefore, the solutions to the equation x^2 - x = 72 are x = 9 and x = -8.
Explanation: