Find the value of h if quadratic equation hx2- 42x + 49 = 0 has two real and equal roots. 相关知识点: 试题来源: 解析 Since the quadratic equation hx^2-42x+49=0 has two real and equal roots, thenb^2-4ac=0(-42)^2-4(h)(49)=01764-196 h =0 196 h =1764 h =9 ...
Find the value(s) of k so that, the quadratic equation x2−4kx+k=0 has equal roots. View Solution Recommended Questions For what values of k ,the equation x^(2)-2(1+3k)x+7(3+2k)=0 has equal ... 03:02 Find the values of k for which the quadratic equation has equal roots...
If the equation16x2+6kx+4=0has equal roots, then what is the value of k? View Solution If quadratic equation3x2- 4x + k = 0 has equal roots, then the value of k is... . View Solution If the quadraticx2−2x+k=0has equal roots, then value of k is ___. View Solution For...
If the quadratic equation admits equal roots {eq}\displaystyle r_1 {/eq}, then the two linearly independent functions that are solutions to the equation are {eq}\displaystyle \{e^{r_1x}, xe^{r_1x}\}. {/eq} Answer...
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 a=k,b=-2k,c=6 We know that for the real and equal roots of any quadratic equation(Discriminant)D=...
Fundamental Formula,find the probabilities that1.the roots of the equation are real2.the roots of the equation are complex3.the roots of the equation are equal.第三个我知道怎么做 但是第一二个还是不知道额 答案 本题是古典概型.第一小题是要求等式有实根的概率...
But, I don't know the roots of the polynomial since there is an unknown c. Even if I substitute it with ( -6 ± 36 - 4k ) / -2 , I see it'll be very messy and hard to solve Anyway, you can write the solutions x1 and x2 (x1<x2) of the quadra...
x * y = -108 x + y = 23 From equation 2, we can express y as 23 - x and substitute it into equation 1. This gives us x(23 - x) = -108. Simplifying, we get x^2 - 23x - 108 = 0. By solving thisquadratic equation, we find that the two numbers are 12 and -9....
If the equation x3−6x2+9x+λ=0 has exactly one root in (1, 3), then λ belongs to the interval A(−6,−3) B(−4,0) C(−2,2) D(−1,3)Submit Question 3 - Select One The values of λ such that sum of the squares of the roots of the quadratic equation x2+(...
has three equal roots and find this roots . Solution in Telugu Video SolutionStruggling With Quadratic Equations? Study With Allen’s Free Live Crash Course Free ALLEN Course Text SolutionVerified by Experts The correct Answer is:∴ 1 is the reuired roots . ...