Step by step video & image solution for If ratio of the roots of the equation ax^(2)+bx+c=0 is m:n then (A) (m)/(n)+(n)/(m)=(b^(2))/(ac) (B) sqrt((m)/(n))+sqrt((n)/(m))=(b)/(sqrt(ac))],[" (C) sqrt((m)/(n))+sqrt((n)/(m))=(b^(2))/(ac)...
If roots of the equation ax^2 + bx + c = 0 are alpha/(alpha-1) and (alpha+1)/alpha and then (a+b+c)^2 equals
If a and B are the roots of the quadrati c ax2 + bx + c = 0, ( a # 0),determine the values of the following expressions in terms of a, b and c.① 1/α+(1)/β 四 1/(a^2)+1/(β^2) 相关知识点: 试题来源: 解析 m9= (0)1(—)= ()—()= /+= (18)...
If the sum of the roots of the equation x 2 + kx - 3 = 0 is equal to the product of the roots, the value of k is? Solving second order equations Given a generic second-order equation, {eq}ax^2+bx+c=0 {/eq}, its roots can...
百度试题 结果1 题目Pay attention to y=ax^2+bx+c(a≠0), and answer the question.If the two roots of this equation are m&n, which situation can be m0 orm>0, nNote: y=0 (I typed wrong.) 相关知识点: 试题来源: 解析 c/a<0 反馈 收藏 ...
ax2+bx+c=0 的两个根分别是：即x=（-b+√（b²-4ac））/2a;另一个是x=（-b-√（b²-4ac））/2a。两个根相乘可得到=c/a. 题目中是x2+bx+c=0, 即a=1. 所以 rs=c/1=c. r s的符号取决于c的符号。原来
Pay attention to y=ax^2+bx+c(a≠0), and answer the question.If the two roots of this equation are m&n, which situation can be m0 orm>0, nNote: y=0 (I typed wrong.)
Reason: If a,b,c are not all real, then equation ax2+bx+c=0 can have one real root and one one root imaginary. Q. If the equation ax2+bx+6=0 does not have two distinct real roots, then the least value of 3a+b Q. Statement 1 : If f(x)=ax2+bx+c, where a>0,c<0...
(c) If the three equations x2+ax+12=0,x2+bx+15=0 and x2+(a+b)x+36=0 have a common possible root, then find a and b and the roots. Solution Verified by Toppr (a) Since each pair has a common root, the root of the three equations be taken as α,β;β,γ and ...
Solve the equationkx(x-2)+6=0for the value ofxif roots of this equation are real and equal. Solution Given equation is :kx(x-2)+6=0 kx2−2kx+6=0 Follow these steps of the solution: Step1: On comparing the given equation with the general form of the equationax2+bx+c, we get...