the value of k for which system of equations x+y-4 = 0 and 2x+ky=3 has no solution, is
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Step-by-step explanation:
IF SYSTEM OF EQUATIONS HAS NO SOLUTION THEN
a1/a2=b1/b2=/=c1/c2
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EXPLANATION.
Roots of the equation.
- 3x² - 10x + k = 0. are reciprocal to each other.
As we know that,
- Let one roots be = α.
- Other roots is reciprocal to each other = 1/α.
Products of the zeroes of the quadratic polynomial.
⇒ αβ = c/a.
⇒ α x 1/α = k/3.
⇒ 1 = k/3.
⇒ k = 3.
MORE INFORMATION.
Nature of the roots of the quadratic expression.
(1) = Real and unequal, if b² - 4ac > 0.
(2) = Rational and different, if b² - 4ac is a perfect square.
(3) = Real and equal, if b² - 4ac = 0.
(4) = If D < 0 Roots are imaginary and unequal Or complex conjugate.
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