Quadratic Equation | Lecture (10) | Karan Soni

Quadratic Equations

Quadratic Equations

Find the roots of the following quadratic equations by the factorisation method. 3x^(2)+5sqrt(5)x-10=0

Each of the following quadratic equations represents the graph shown above. Which equation reveals the exact values of the x-intercepts of the graph?

Find the roots of the quadratic equations by using the quadratic formula -x^(2)+7x-10=0

Find all the integral values of a for which the quadratic equation (x - a) (x - 10) + 1 = 0 has integral roots.

Write whether the following statements are true or false. Justify your answers. (i) Every quadratic equation has exactly one root. (ii) Every quadratic equation has atleast one real root. (ii) Every quadratic equation has atleast two roots. (iv) Every quadratic equations atmost two roots. (v) If he coefficient of x^(2) and the constnat term of a quadratic equation have opposite sigh, then the quadratic equation has real roots. (vi) If the coefficient of x^(2) and the constant term have the same sign and if the coefficient of x term is zero, then the quadratic equation has no real roots.

Find the roots of the quadratic equations by using the quadratic formula -3x^(2)+5x+12=0