Question

Y = x squared 7 x 10

a. (-2, 0); ( 5, 0)
b. ( 2, 0); (-5, 0)
c. ( 2, 0); ( 5, 0)
d. (-2, 0); (-5, 0)

Answer 1

The correct solution to the quadratic equation y = x^2 + 7x + 10 is obtained by factoring, yielding roots x = -2 and x = -5, corresponding to option d.

Step-by-step explanation:

The student seems to be asking for the correct solution to a quadratic equation, the equation appears to be y = x^2 + 7x + 10. This equation can be factored to find its roots or solutions, which are the values of x for which y equals zero. To factor the quadratic equation, find two numbers that multiply to 10 (the constant term) and add up to 7 (the coefficient of the x term). These numbers are 2 and 5. Therefore, the factored form of the equation is (x + 2)(x + 5) = 0. Setting each factor equal to zero gives us the solutions x = -2 and x = -5. So, the correct pair of solutions (roots) is d. (-2, 0); (-5, 0).