Question

Solve the equation by factoring: 2x² − 11x + 15 = 0(1 point) Responses x = 5, x = 3 x = 5, x = 3 x = -3/2, x = -5 x = -3/2, x = -5 x = 3, x = 5/2 x = 3, x = 5/2 x = -5, x = -3

Answer 1

To solve the equation 2x² - 11x + 15 = 0 by factoring, we need to find two numbers that multiply to 2*15=30 and add up to -11.

The numbers are -6 and -5.

Therefore, the factored form of the equation is: (2x - 5)(x - 3) = 0

Setting each factor to zero:

2x - 5 = 0
2x = 5
x = 5/2

x - 3 = 0
x = 3

So the solutions to the equation are x = 5/2 and x = 3. Answer: x = 5/2, x = 3.