Menu Close

1-x-R-x-2-x-a-0-find-the-range-of-a-2-x-R-x-2-x-a-0-find-the-range-of-a-

Tinku Tara 0 Comments
Pin




Question Number 175943 by CrispyXYZ last updated on 10/Sep/22
(1) ∃x∈R, x^2 +x+a=0. find the range of a. (2) ∀x∈R, x^2 +x+a=0. find the range of a.
(1)∃x∈R,x2+x+a=0.findtherangeofa.(2)∀x∈R,x2+x+a=0.findtherangeofa.
Answered by mahdipoor last updated on 10/Sep/22
1) x=((−1±(√(1−4a)))/2) ⇒ 1−4a≥0 ⇒ a≤(1/4) 2)for example : get x_1 =1 and x_0 =0 (x_1 )^2 +x_1 +a=(x_0 )^2 +x_0 +a=0 2+a=a=0 ⇒ ∄a∈R
1)x=−1±1−4a2⇒1−4a⩾0⇒a⩽142)forexample:getx1=1andx0=0(x1)2+x1+a=(x0)2+x0+a=02+a=a=0⇒∄a∈R

Pin

Leave a Reply

Your email address will not be published. Required fields are marked *