Solve 0 = 4×2 12x 9. select the equation that shows the correct substitution of a, b, and c in the quadratic formula. December 31, 2022 by King Solve 0 = 4×2 12x 9. select the equation that shows the correct substitution of a, b, and c in the quadratic formula.
Answer: Solve 0 = 4×2 + 12x + 9. select the equation that shows the correct substitution of a, b, and c in the quadratic formula. We know that quadratic equation for: ax^2 + bx + c= 0…………(1) is X = {- b + – √( b^2 -4ac) } / 2a ……….(2) for calculating the value of x. where a, b and c values are given in numeric. So , here if we compare the value of 0 = 4x^2 + 12x + 9 with equation no 1 then we can get a = 4 , b= 12 and c = 9 So from these we can get X = {- 12 + – √(12^2 – 4*4*9)} / 2*4 X = {- 12 + – √(12*12 – 4*4*9) } / 2*4 X = – 12 + – (√144 – 144) / 2*4 X = – 12 + 0 /8 X= – 3/2 So the implemented equation of 0 = 4x^2 + 12x + 9. Will be X ={ – 12 + – √(12*12 – 4*4*9 )/ 2*4} and the calculated value of x will be -3/2 Know more about “Quadratic Equation” here: https://brainly.com/question/28317310 #SPJ4 Reply
We get the value of x as – 3 / 2 and the quadratic equation is represented by a x² + b x + c= 0. We know that the formula for quadratic equation is given by: a x² + b x + c= 0 Here, we have the quadratic equation as: 4x² + 12 x + 9 = 0 We will solve it by using middle term splitting. We can write the equation as: 4 x² + 6 x + 6 x + 9 = 0 Taking common factors: 2 x ( 2 x + 3) + 3 ( 2 x + 3) = 0 Again taking the common factors: (2 x + 3)(2 x + 3) = 0 Solving it to get the value of x: x = – 3 / 2 and – 3 / 2. Therefore, we get the value of x as – 3 / 2 and the quadratic equation is represented by a x² + b x + c= 0. Learn more about quadratic equation here: https://brainly.com/question/1214333 #SPJ4 Reply
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