Answer:
Step-by-step explanation:
AI-generated answer
To find the real solutions of the equation 4y^2 - 7y = 36, we need to solve for y.
Step 1: Rewrite the equation in standard quadratic form: 4y^2 - 7y - 36 = 0.
Step 2: Factor the quadratic equation. In this case, the factors are (4y + 9)(y - 4) = 0.
Step 3: Set each factor equal to zero and solve for y:
4y + 9 = 0
y - 4 = 0
For the first equation, subtract 9 from both sides:
4y = -9
Divide both sides by 4:
y = -9/4
For the second equation, add 4 to both sides:
y = 4
Therefore, the real solutions to the equation 4y^2 - 7y = 36 are y = -9/4 and y = 4.
