If the equation 9x2+6kx+4 0 has equal roots
Web3 mei 2024 · Given: the equation 9x2 + 6kx + 4 = o has equal roots. To find: the roots are both equal to ? Solution: If roots of given equation are equal then D = b2 – 4ac = 0 ⇒ … Web20 okt. 2012 · Given, quadratic equation is: 9x 2 + 6kx + 4 = 0 Now, the given equation has equal roots, so D = 0 ⇒ b 2 - 4ac = 0 ⇒ (6k) 2 - 4 × 9 × 4 = 0 ⇒ 36k 2 - 36 × 4 = 0 ⇒ 36k 2 = 36 × 4 ⇒ k 2 = 4 ⇒ k = ± 2 Case 1: When k = 2, we have the quadratic equation as: 9x 2 + 6 (2)x + 4 = 0 ⇒ 9x 2 + 12x + 4 = 0 ⇒ (3x) 2 + 2 × 2 × 3x + (2) 2 = 0 ⇒ (3x + 2) 2 = 0
If the equation 9x2+6kx+4 0 has equal roots
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Web15 dec. 2024 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site WebThe correct option is B -2 or 2. Given, the roots of quadratic equation 9x2+6kx+4= 0 are real and equal. Discriminant, Δ =b2−4ac Δ = 36k2 –4(4)(9)= 36k2 –4(36) The roots of …
Web16 dec. 2024 · If the equation 9x2+6kx+4=0 has equal roots then k= ? b) 0 only c) 2 or 0 d) 2 or −2 Solution For 11. If the equation 9x2+6kx+4=0 has equal roots then k= ? b) 0 … WebIf the equation x 2 + 4x + k = 0 has real and distinct roots, then Options k < 4 k > 4 k ≥ 4 k ≤ 4 Advertisement Remove all ads Solution The given quadric equation is x 2 + 4x + k = …
Web11 sep. 2024 · CBSE Class 10 Answered Determine the set of values of p for which the quadratic equation px2+6x+1=0 has real roots. Asked by Topperlearning User 11 Sep, 2024, 10:13: AM Expert Answer Answered by 11 Sep, 2024, 12:13: PM Application Videos This video explains the concept of Discriminant and Nature of Roots. Web20 okt. 2012 · Given, quadratic equation is: 9x 2 + 6kx + 4 = 0 Now, the given equation has equal roots, so D = 0. ⇒ b 2 - 4ac = 0. ⇒ (6k) 2 - 4 × 9 × 4 = 0 ⇒ 36k 2 - 36 × 4 = 0. …
Web25 mrt. 2024 · Complete step-by-step answer: A quadratic equation is an equation with a degree of 2. It can have at most 2 real roots, and may sometimes have 1 or none. We have been given that 8 is a root of the equation x 2 − 10 x + k = 0 . This implies that this equation has a value of 0 at x = 8.
WebIf the equation 9x^2+6k x+4=0 has equal roots, then the roots are both equal to +-2/3 (b) +-3/2 (c) 0 (d) +-3 If the equation 9x^2+6k x+4=0 has equal roots, then the roots are … i dont really know a lot about love lyricsWebThe question must be, if roots of equation (a-b)x 2 + (b-c)x+ (c-a)=0 are equal , prove that b+c = 2a. Using Discriminant, D = B 2 -4AC as compared with the general quadratic equation Ax 2 +Bx+C=0 so, A = a-b B = b-c C = c-a For roots to be equal, D=0 (b-c) 2 - 4 (a-b) (c-a) =0 b 2 +c 2 -2bc -4 (ac-a 2 -bc+ab) =0 b 2 +c 2 -2bc -4ac+4a 2 +4bc-4ab=0 i dont need you loveWeb22 mrt. 2024 · Question 6 For what values of k, the equation 9x2 + 6kx + 4 = 0 has equal roots?Given equation 9x2 + 6kx + 4 = 0 Since it has equal roots D = 0 b2 − 4ac = 0 … is screen mirroring secureWebIf the equation x 2 + 4x + k = 0 has real and distinct roots, then (a) k < 4 (b) k > 4 (c) k ≥ 4 (d) k ≤ 4 Solution The given quadric equation is , and roots are real and distinct. Then … i dont own my car anymorehttp://cbseacademic.nic.in/web_material/SQP/ClassX_2024_21/MathsStandard-SQP.pdf i dont take ls lyricsWebIf the equation 9x 2 + 6kx + 4 = 0, has equal roots, then the roots are both equal to (a) ± 23 (b) ± 32 (c) 0 (d) ± 3 Solution: (a) Question 4. If ax ... 2 + bx + 12 = 0 and the equation x 2 + bx + q = 0 has equal roots, then q = –8 (c) 16 (d) -16 Solution: (c) Question 9. If the equation (a 2 + b 2) x 2 – 2 (ac + bd) x + c 2 + d 2 = 0 ... i dont own the videoWeb3 mei 2012 · We know that two roots of quadratic equation are equal only if discriminant is equal to zero. Putting discriminant equal to zero, we get The basic definition of quadratic … i dont take alot of people serush