PLS PASAGOT
Find the sum and product of the roots of the ff. quadratic equation.
1.) 3x²+x+1=0
2) x²-6=0
3.) 3x²+7x=2x-5
4.) 3x²-7x+6=5
5.) x²-21x+10x=0
Answer (1)
Answer:See belowStep-by-step explanation:To find the sum and product of the roots of a quadratic equation of the form:ax^2 + bx + c = 0We can use these formulas: 1) Sum of the roots = - (b/a) 2) Product of the roots = (c/a)In each case, rearrange to standard form and then use the above relationships to find the sums and products of all the roots.============1) 3x^2 + x + 1=0This is already in standard form:a = 3, b = 1, c = 1Therefore:Sum = - (b/a) = -(1/3)Product = (1/3)2) x²-6=0 a = 1 b = 0 c - -6Sum: - (b/a) = 0Product: (c/a) = -63) 3x²+7x=2x-5Rearrange to standard form: 3x^2 + 5x + 5 = 0 a = 3 b = 5 c = 5Sum: - (b/a) = -(5/3)Product: (c/a) = (5/3)4.) 3x²-7x+6=5Rearrange to standard form: 3x²-7x+1=0 a = 3 b = -7 c = 1Sum: - (b/a) = -(-7/3) or (7/3)Product: (c/a) = (1/3)5.) x²-21x+10x=0Simplify: x²-11x=0 a = 1 b = -11 c = 0Sum: - (b/a) = -(-11/1) or 11Product: (c/a) = (0/1) or 0
