Answer:
x = - 3, x = [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given
4x² + 2x - 30 = 0 ( divide through by 2 )
2x² + x - 15 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 15 = - 30 and sum = + 1
The factors are + 6 and - 5
Use these factors to split the x- term
2x² + 6x - 5x - 15 = 0 ( factor the first/second and third/fourth terms )
2x(x + 3) - 5(x + 3) = 0 ← factor out (x + 3) from each term
(x + 3)(2x - 5) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
2x - 5 = 0 ⇒ 2x = 5 ⇒ x = [tex]\frac{5}{2}[/tex]
Answer:
Question posted was incomplete. Here are the answers
What are the roots of the function y = 4x2 + 2x – 30?
To find the roots of the function, set y = 0. The equation is 0 = 4x2 + 2x – 30.
Factor out the GCF of 2
Next, factor the trinomial completely. The equation becomes
0 = 2(2x – 5)(x + 3)
Use the zero product property and set each factor equal to zero and solve.
The roots of the function are –3 and 5/2
Step-by-step explanation:
