Find the value of k so that quadratic eq
WebJul 25, 2015 · 2 Answers. Sorted by: 1. If you don't want to incorporate your prior knowledge to the problem, the quadratic equation has equal roots when the discriminant is equal to zero. ( k − 1) 2 + 4 ( 1) ( 1 + 2 k) = k 2 + 6 k + 5 = ( k + 1) ( k + 5) = 0 k ∈ { − 5, − 1 } Share. WebFinding 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
Find the value of k so that quadratic eq
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WebMar 4, 2024 · So I am coding something that will include two variables that are taking place of constants in a quadratic equation. We have a quadratic that is equal to the first equation so we can solve it by hand but I want to verify my numbers. However the solutions for K1 and K2 keep getting messed up by the x value (which in this code is deemed l) … 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 ...
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 = … 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.
WebThe given quadratic equation is 3 x 2 − 2 k x + 1 2 = 0 On comparing it with the general quadratic equation a x 2 + b x + c = 0, we obtain a = 3, b = − 2 k and c = 1 2 … WebSep 25, 2024 · Learn how to find the coefficient of x in Quadratic Equation that has similar (equal) roots. Quick and Easy Explanation by PreMath.com
WebWe have to find the value of k so that the quadratic equation 2x^2 + 5x - k = 0 has two real solutions. Now the roots of a quadratic equation are given by [-b+ sqrt (b^2 - 4ac]/2a and...
WebGiven 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 ... samurai shodown rage explosionWebClick here👆to get an answer to your question ️ Find the value(s) of k so that the quadratic equation x^2 - 4kx + k = 0 has equal roots. Solve Study Textbooks Guides. Join / Login. Question . samurai shodown ps5 upgradeWebDec 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 … samurai shodown redditWebHow do you calculate a quadratic equation? To solve a quadratic equation, use the quadratic formula: x = (-b ± √ (b^2 - 4ac)) / (2a). What is the quadratic formula? The quadratic formula gives solutions to the quadratic equation ax^2+bx+c=0 and is written … samurai shodown ps2 isoWebThe solution(s) to a quadratic equation can be calculated using the Quadratic Formula: The "±" means we need to do a plus AND a minus, so there are normally TWO solutions … samurai shodown retro gameWebThe formula to find the roots of the quadratic equation is x = [-b ± √ (b 2 - 4ac)]/2a. The sum of the roots of a quadratic equation is α + β = -b/a. The product of the Root of the quadratic equation is αβ = c/a. The quadratic equation whose roots are α, β, is x 2 - … samurai shodown rollback updateWebOct 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 ) samurai shodown rom mame