Find the values of k so that the quadratic equation (4 - k)x 2 + 2(k + 2)x + (8k + 1) = 0 has equal roots.

The given equation is (4 - k)x 2 + 2(k + 2)x + (8k + 1) = 0 Comparing it with ax 2 + bx + c = 0 a= (4 - k), b = (2k + 4), c = (8k + 1) Given, Equation has real and equal roots ∴ b 2 - 4ac = 0 Hence , the value of k are 0, 3.

Solve for x using the quadratic formula. Write your answer correct to two significant figures : (x - 1)² - 3x + 4 = 0 .

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Find the values of m so that the quadratic equation 3x² - 5x - 2m = 0 has two distinct real roots.

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Find the value(s) of k for which each of the following quadratic equation has equal roots:
(i) 3kx² = 4(kx - 1)
(ii) (k + 4)x² + (k + 1)x + 1 = 0
Also, find the roots for that value(s) of k in each case.

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Mathematics

Find the values of k so that the quadratic equation (4 - k)x² + 2(k + 2)x + (8k + 1) = 0 has equal roots.

Quadratic Equations

Related Questions

Solve for x using the quadratic formula. Write your answer correct to two significant figures : (x - 1)² - 3x + 4 = 0 .

Find the values of m so that the quadratic equation 3x² - 5x - 2m = 0 has two distinct real roots.

Find the value(s) of k for which each of the following quadratic equation has equal roots:
(i) 3kx² = 4(kx - 1)
(ii) (k + 4)x² + (k + 1)x + 1 = 0
Also, find the roots for that value(s) of k in each case.

Mathematics

Find the values of k so that the quadratic equation (4 - k)x2 + 2(k + 2)x + (8k + 1) = 0 has equal roots.

Quadratic Equations

Related Questions

Solve for x using the quadratic formula. Write your answer correct to two significant figures : (x - 1)2 - 3x + 4 = 0 .

Find the values of m so that the quadratic equation 3x2 - 5x - 2m = 0 has two distinct real roots.

Find the value(s) of k for which each of the following quadratic equation has equal roots:(i) 3kx2 = 4(kx - 1)(ii) (k + 4)x2 + (k + 1)x + 1 = 0Also, find the roots for that value(s) of k in each case.

Find the values of k so that the quadratic equation (4 - k)x² + 2(k + 2)x + (8k + 1) = 0 has equal roots.

Solve for x using the quadratic formula. Write your answer correct to two significant figures : (x - 1)² - 3x + 4 = 0 .

Find the values of m so that the quadratic equation 3x² - 5x - 2m = 0 has two distinct real roots.

Find the value(s) of k for which each of the following quadratic equation has equal roots:
(i) 3kx² = 4(kx - 1)
(ii) (k + 4)x² + (k + 1)x + 1 = 0
Also, find the roots for that value(s) of k in each case.