what is the answer to 8y^2+30y+13
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the quadratic function:
8y^2 + 30y + 13
a = 8
b= 30
c = 13
Solution:
The given quadratic function can be solved using the quadratic formula.
The Quadratic formula:
x = −b ± √(b^2 − 4ac)/2a
is used to solve quadratic equations where a ≠ 0, in the form
ax^2+bx+c=0
When b^2−4ac=0 there is one real root.
When b^2−4ac>0 there are two real roots.
When b^2−4ac<0 there are no real roots, only a complex number.
Substitute the given values of a, b and c to the quadratic formula.
x = −b ± √(b^2 − 4ac)/2a
x = −30 ± √(30^2 − 4(8)(13))/2(8)
x = −30 ± √(900 − 416)/16
x = −30 ± √(484)/16
x = −30 ± 22/16
Solve for ± individually.
x = -30 + 22/16
x = -8/16
x = -½
x= -30 - 22/16
x = -52/16
x =-13 / 4
Final answer:
x = -½
x= -13 / 4