Welcome to your Solving Algebraic Equations(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER If the equation px² - 6x + 1 = 0 has equal roots, the value of p is 6 9 3 4 Solve the equation 3x + 4 = 5x - 6 5 3 -4 -5 -3 The roots of the equation5 + 3y - 2y² = 0 are -5/2, -1 5/2, -1 -5/2, 1 5/2, 1 Solve the equation (a - 7)(a + 2) = 0 a = -4 or -5 a = -1 or 8 a = 2 or -7 a = -2 or 7 Solve the equation 5(x + 1) - 15 = 0 x = -6 x = 3 x = 2 x = 5 x = -9 The positive root of a equation 4x² + 7x = 1, correct to e decimal places is 0.133 0.322 1.062 10.623 Given that a² + b² + c² = 50 and a = 5, √b = 2 find c 2 4√2 3√2 3 Find the quadratic equation whose roots are y = 7 and y = -2 y² - 2y + 7 = 0 y² + 5y + 14 = 0 y² - 5y - 14 = 0 y² + 2y - 7 = 0 The roots of the equation 10y² - 13y - 3 are -3/10 or 1 -1/5 or 3/2 3/5 or -1/2 3/10 or -1 If the equation y² - (k - 2)y + 2k + 1 = 0 has equal roots, the values of k are 1, 2 3, 4 12, 0 4, 5 Solve for x in the equation 2(x + 1) = x + 4 -3 3 -4 2 -2 Simplify -4 × -6 × 2 -48 48 12 -24 24 Find the value of x in the equation 81 - 9x = 27 9 -9 6 -6 Find the values of x for which 9^{x} - 4 × 3^{x} + 3 = 0 1, 0 0, -1 1, 3 1, -1 Evaluate (xy² - yz²)(x²z - xyz) when x = 2, y = -2 and z = -½ -30 0 -28 -34 Find the smaller value of a for whicha² - 3a + 2 = 0 1 -1 -2 2 One of the roots of the equation x² + 9 = 0 is 3 none of these -3 -9 The equation whose roots are 1/2 and -7 is 2x² + 13x - 7 = 0 2x² + 14x - 7 = 0 2x² - 13x - 7 = 0 2x² + 7x -14 = 0 Solve the equation 5x² = 3x 0 or 3 3 or 5 0 or 5 0 or 3/5 If P = R/ R+2 % R+2/ R, where R is a number which is neither 0 nor -2, then P > 0 P ≥ 0 P ≤ 0 P = 1 1 out of 20 Time is Up! Time's up