Find the value of k so that quadratic eq
WebHence, for k<1 the quadratic equation will have real and distinct roots. Here a=k, b=6, c=1 Therefore, D = 6 2 − 4 × k × 1 = 36 - 4k > 0. So, 4k < 36. k < 9 . Hence, for k < 9 the quadratic equation will have two real and distinct roots. Suggest Corrections. 1. …
Find the value of k so that quadratic eq
Did you know?
WebIf one of the Zeros of polynomial f ( x) = K x 2 − 17 K + ( 3 K − 2) is reciprocal of other zero, then K is equal to: (a) 1, (b) -1, (c) 2, (d)-2. i solve the above question as follows. let the … WebFind the values of k for the following quadratic equation, so that it has two equal roots. 2 x 2 + k x + 3 = 0 Solution Compute the required value: On comparing the given equation with a x 2 + b x + c = 0, we get, a = 2, b = k and c = 3 As we know, Discriminant : D = b 2 - 4 a c = k 2 - 4 2 3 = k 2 - 24 For equal roots, Discriminant D = 0
WebApr 6, 2024 · Hint: It has given that the quadratic equation has equal roots. So this means the determinants will be zero. i.e. \[{b^2} - 4ac\]= 0, where a, b and c are the coefficients … WebMar 16, 2024 · Question 2 Find the value(s) of k, if the quadratic equation 3x2 k 3 x + 4 = 0 has equal roots. 3x2 k 3 x + 4 = 0 Comparing equation with ax2 + bx + c = 0 a = 3, b = k 3 , c = 4 Since the equation has 2 equal roots, D = …
WebGraphing Quadratic Equations. A Quadratic Equation in Standard Form (a, b, and c can have any value, except that a can't be 0.)Here is an example: Graphing. You can graph a Quadratic Equation using the Function Grapher, but to really understand what is going on, you can make the graph yourself. Read On! The Simplest Quadratic. The simplest … WebStep 1: Enter the equation you want to solve using the quadratic formula. The Quadratic Formula Calculator finds solutions to quadratic equations with real coefficients. For equations with real solutions, you can use the graphing tool to visualize the solutions. Quadratic Formula: x = −b±√b2 −4ac 2a x = − b ± b 2 − 4 a c 2 a.
WebDec 29, 2024 · Find the value of K so that the quadratic equation has equal roots: (k-5)x^2+2 (k-5)x+2=0. 4,129 views. Dec 29, 2024. 106 Dislike Share Save. Math Army. 81.8K subscribers. Find the …
WebApr 22, 2024 · From the quadratic formula, we know that if the equation $ax^2+bx+c=0$ has two distinct real roots, then their difference is $2\sqrt{b^2-4ac}$. Plugging in the values ... image editing software windowsWebOct 23, 2024 · Find the values (s) of k so that the quadratic equation 3x2–2kx+12= 0 has equal roots. Advertisement Expert-Verified Answer 26 people found it helpful abhi569 Given equation : 3x^2 - 2kx + 12 = 0 On comparing the given equation with ax^2 + bx - c = 0 we get a = 3 b = -2k c = 12 Therefore, Discriminant = b^2 - 4ac = ( -2k )^2 - 4 ( 3 ) ( 12 ) image editing software logoWebFind k, so that the quadratic equation (k+1)x 2−2(k+1)x+1=0 has equal roots. Medium Solution Verified by Toppr Since roots are equal. ∴d=0 .... (1) (k+1)x 2−2(k−1)x+1=0 d=b … image editing software edge detectionWebA: Given- x2+5kx+6=0 To Find- The value of k for the above quadratic equation has no real roots.… Q: Assume the quadratic equation x squared +kx- 8 factors. Give three possible values for k, one of… image editing time real benchWebQuadratic Equation in Standard Form: ax 2 + bx + c = 0. Quadratic Equations can be factored. Quadratic Formula: x = −b ± √ (b2 − 4ac) 2a. When the Discriminant ( b2−4ac) is: positive, there are 2 real solutions. zero, there is one real solution. negative, there are 2 complex solutions. image editing software coloringWebGiven quadratic equation: (k+4)x 2 +(k+1)x+1=0. Since the given quadratic equation has equal roots, its discriminant should be zero. ∴ D = 0 ⇒ (k+1) 2 −4 × (k+4) × 1=0 ⇒k 2 +2k+1−4k−16=0 ⇒k 2 −2k−15=0 ⇒k 2 −5k+3k−15=0 ⇒(k−5)(k+3)=0 ⇒k−5=0 or k+3=0 ⇒k=5 or −3 Thus, the values of k are 5 and −3. For k = 5 ... image editing rule of thirdsWebFinding Roots of Quadratic Equation by Quadratic Formula Find a, b, and c values by comparing the given equation with ax 2 + bx + c = 0. Then a = 1, b = -7 and c = 10 Substitute them in the quadratic formula and simplify. x = [- (-7) ± √ ( (-7) 2 - 4 (1) (10))] / (2 (1)) = [ 7 ± √ (49 - 40) ] / 2 = [ 7 ± √ (9) ] / 2 = [ 7 ± 3 ] / 2 image editing software companies