what is 9x2 – 30x + 25?
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
9x^2 – 30x + 25
a = 9
b= -30
c = 25
Solution:
The Quadratic formula:
In order to solve for the roots of an equation, we simply must look at the 2nd and 3rd value. First we must think of two numbers that when added, the answer is -30, and when multiplied, the answer is 25. Hence, if we are unable to find the number, we will use 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 values to the quadratic formula.
x = −b ± √(b^2 − 4ac)/2a
x = −(-30) ± √((30)^2 − 4(25)(9))/2(9)
x = 30 ± √(900 − 900))/2(9)
x = 30 ± √(0)/18
x = 30 /18
x = 1.667
Final answer:
x = 1.667