horsegirl0324
contestada

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 .
Next, factor the trinomial completely. The equation becomes .
Use the zero product property and set each factor equal to zero and solve. The roots of the function are .

Respuesta :

Banabanana
4x² + 2x - 30 = 0

factor out the GCF:
2(2x² + x - 15) = 0

factor the trinomial completely:
2x² + x - 15 = 0
2x² + 6x - 5x - 15 = 0
2x(x + 3) - 5(x + 3) = 0
(2x - 5)(x + 3) = 0

use the zero product property and set each factor equal to zero and solve:
2x - 5 = 0     or     x + 3 = 0
2x = 5                   x = -3
x = 2.5

The roots of the function are x=-3,  x=2.5

The roots of the equation [tex]y=4x^2+2x-30[/tex] are x = -3 and x = 5/2

Roots of a quadratic equation

The given quadratic equation is:

[tex]y=4x^2+2x-30[/tex]

Set y = 0

[tex]4x^2+2x-30=0[/tex]

Factor the trinomial completely

[tex]4x^2-10x+12x-30=0\\\\2x(2x-5)+6(2x-5)=0\\\\(2x-5)(2x+6)=0[/tex]

Set each factor to zero and solve

2x  -  5  =  0

2x  =  5

x  =  5/2

2x  +  6  =  0

2x  =  -6

x  =  -6/2

x  =  -3

The roots of the equation [tex]y=4x^2+2x-30[/tex] are x = -3 and x = 5/2

Learn more on roots of a quadratic equation here: https://brainly.com/question/776122

Otras preguntas