19/03/2020 Solving Algebraic Equations(Study by Topics Junior Class) 0Comments by Gate Academy Welcome to your Solving Algebraic Equations(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER Solve the equation 6z² - 7z - 5 = 0z = 1/3 or 5/2z = 5/3 or -1/2z = 1/2 or -5/2z = -5/3 or 1/2The roots of the equation5 + 3y - 2y² = 0 are-5/2, -1-5/2, 15/2, 15/2, -1If 5 is subtracted from twice a certain number, the result is the same as adding 8 to the original number. Express this statement as an equation.x - 25 = 8 + x2x + 5 = x -85 - 2x = x + 82(5 - x) + 8 = x2x - 5 = x + 8If y = 2/3 x + 1 and z = 2/3 y + 1, then the value of z when x = 66 is2131/26131Solve the equation 6(y-4) + 3(y+7) = 613/202/3If the equation y² - (k - 2)y + 2k + 1 = 0 has equal roots, the values of k are3, 412, 04, 51, 2The equation whose roots are 1/2 and -7 is2x² + 7x -14 = 02x² - 13x - 7 = 02x² + 13x - 7 = 02x² + 14x - 7 = 0Given that a² + b² + c² = 50 and a = 5, √b = 2 find c4√233√22Find the smaller value of a for whicha² - 3a + 2 = 012-2-1If P = R/ R+2 % R+2/ R, where R is a number which is neither 0 nor -2, thenP ≤ 0P > 0P ≥ 0P = 1The positive root of a equation 4x² + 7x = 1, correct to e decimal places is1.0620.3220.13310.623What is the value of 2p + 3q, when p = 4 and q = 5?2325201530Find the value of x for which 3^{2x} + 6(3^{x}) = 27-113-3Solve the equation 5x² = 3x3 or 50 or 50 or 3/50 or 3One of the roots of the equation 6y² = 5 - 7y is-1/35/3-1/21/2Find the roots of the equation3y² + 25y - 18 = 0-3, 2-2, 3-9, 2/3-2/3, 9Find the values of x for which 9^{x} - 4 × 3^{x} + 3 = 00, -11, 31, -11, 0Solve the equation -48 + 11n - 20n + 12 = 0042-2-4Solve for x in the equation 2(x + 1) = x + 4-4-323-2Solve for a in the equation 4 - 6a = -21/31-3-1321 out of 20Time is Up!