Advertisements
Advertisements
प्रश्न
If x = 3 is one root of the quadratic equation x2 – 2kx – 6 = 0, then find the value of k.
उत्तर
If x = 3 is a root of the quadratic equation x2 − 2kx − 6 = 0, then it will satisfy the given equation.
`=> 3^2 - 2k(3) - 6 = 0`
`=> k = 1/2`
APPEARS IN
संबंधित प्रश्न
Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:
`t^2+1`
Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials
`7t^4+4t^3+3t-2`
Classify the following polynomials as polynomials in one-variable, two variables etc:
`xy+yx+zx`
The graph of the polynomial f(x) = ax2 + bx + c is as shown below (Fig. 2.19). Write the signs of 'a' and b2 − 4ac.
If x = 1 is a zero of the polynomial f(x) = x3 − 2x2 + 4x + k, write the value of k.
If α, β are the zeros of the polynomial 2y2 + 7y + 5, write the value of α + β + αβ.
If a quadratic polynomial f(x) is not factorizable into linear factors, then it has no real zero. (True/False)
State whether the given algebraic expression is polynomial. Justify.
`2m^(-2) + 7m - 5`
Divide. Write the quotient and the remainder.
(2y3 + 4y2 + 3) ÷ 2y2
Identify the following expression is polynomial. If not give reason:
`1/x(x + 5)`