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how to solve this using the factorization method 2x2-3x-3=0 |
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Answer» 2x2−3x−3=0 All equations of the form ax2+bx+c=0 can be solved using the quadratic formula: 2a−b±b2−4ac. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction. 2x2−3x−3=0 This equation is in standard form: ax2+bx+c=0. Substitute 2 for a, −3 for b, and −3 for c in the quadratic formula, 2a−b±b2−4ac. x=2×2−(−3)±(−3)2−4×2(−3) Square −3. x=2×2−(−3)±9−4×2(−3) Multiply −4 times 2. x=2×2−(−3)±9−8(−3) Multiply −8 times −3. x=2×2−(−3)±9+24 Add 9 to 24. x=2×2−(−3)±33 The opposite of −3 is 3. x=2×23±33 Multiply 2 times 2. x=43±33 Now solve the equation x=43±33 when ± is plus. Add 3 to 33. x=433+3 Now solve the equation x=43±33 when ± is minus. Subtract 33 from 3. x=43−33 The equation is now solved. x=433+3x=43−33 Hope this will help you out :D |
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