Solve using the quadratic formula.3w2+5w−5=0Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.w=_____ or w=_____
Q. Solve using the quadratic formula.3w2+5w−5=0Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.w=_____ or w=_____
Identify coefficients: Identify the coefficients a, b, and c in the quadratic equation3w2+5w−5=0. Comparing 3w2+5w−5=0 with the standard form ax2+bx+c=0, we find: a=3b=5c=−5
Write quadratic formula: Write down the quadratic formula, which is w=2a−b±b2−4ac.
Substitute values: Substitute the values of a, b, and c into the quadratic formula.w=2(3)−(5)±(5)2−4(3)(−5)
Simplify discriminant: Simplify the expression under the square root (the discriminant). (5)2−4(3)(−5)=25+60=85
Continue simplifying: Continue simplifying the quadratic formula with the calculated discriminant. w=6−5±85
Calculate solutions: Calculate the two possible solutions for w.First solution: w=6−5+85Second solution: w=6−5−85
Round values: Round the values of w to the nearest hundredth, if necessary.First solution: w≈(−5+9.22)/6≈4.22/6≈0.70Second solution: w≈(−5−9.22)/6≈−14.22/6≈−2.37
More problems from Solve a quadratic equation using the quadratic formula