If the equation 9x2+6kx+4 0 has equal roots
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 … WebIf the equation 9x^2 + 6kx + 4 = 0 has equal roots then k = The correct option is D. 2. Given, the roots of quadratic equation 9x2+6kx+4=0 are real and equal.
If the equation 9x2+6kx+4 0 has equal roots
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Web13 apr. 2024 · If the equation has equal roots, it can be deduced that the difference of roots for the equation would be 0. For eg, if an equation has roots 3 and 3 (equal roots), the difference of roots will be 0. So, we'll apply this condition on the difference of roots formula Difference of roots = √D / a = √ (b²-4ac) / a => 0 = √ (b²-4ac) / a Web4 aug. 2024 · Given equation, 9x²+6kx+4=0 Here, a = 9, b = 6k, c = 4 Now, b² - 4ac = 0 (6k)²- - 4 .9 .4=0 36k² - 144=0 36k²=144 k²=144/36 k²= 4 k²= 2² k= ± 2 The value of k so that the equation 9x²+6kx+4=0 has equal roots is 2 or -2
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 http://cbseacademic.nic.in/web_material/SQP/ClassX_2024_21/MathsStandard-SQP.pdf
Webߢ+X7 é Ý¿ª”¤;þ x´Åë×¢˜M : _ éò‰Ö”á}É”ÍZ°$Ó„ ³ :›Ó.å?úÇÆûÄ• { ¡è ֊Ѹž ² Å»n:6n zBsE ‚‚C½! W¼sPe}¡¹!±“±@à”¬¡‡§ 18 ã´+Ó éÌtwUS Õ Þ“é®êéÊt ueº{jÊ›Ÿëžä®©¾Ö²Ž ¹ÌU Bh ÊÄé.Ô r "×8hOtD˜¥+B>¤®Þ º„r$’qµ -Ž Ê"€m þ ` ˜ TŸš\ øA•õûÌ–øÛñ¿¸ &«ªÿï ¾Ÿ ... Webx2+6x+5=0 Two solutions were found : x = -1 x = -5 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+6x+5 The first term is, x2 its ... More Items Examples Quadratic equation x2 − 4x − 5 = 0 Trigonometry 4sinθ cosθ = 2sinθ Linear equation y = 3x + 4 Arithmetic 699 ∗533 Matrix [ 2 5 3 4][ 2 −1 0 1 3 5]
WebIf the equation 9x 2 + 6kx + 4 = 0 has equal roots, then the roots are both equal to Options ± 2 3 ± 3 2 0 ±3 Advertisement Remove all ads Solution Given, quadratic …
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. irish air corps latest newsWeb20 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. … irish aid un volunteerWebIf 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 = … irish air corps badgeWeb22 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 … porsche laptop mouseWebThe 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 porsche landonWeb11 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. porsche ladyWebIf 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 find the value of k. Here, As we know that Putting the value of The given equation will have real and distinct roots, if Therefore, the value of irish air corps webmanuals