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Solve using the quadratic formula.\newline4j2−9j−9=04j^2 - 9j - 9 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlinej=j = _____ or j=j = _____

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Q. Solve using the quadratic formula.\newline4j2−9j−9=04j^2 - 9j - 9 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlinej=j = _____ or j=j = _____
  1. Plug into Quadratic Formula: Plug aa, bb, and cc into the quadratic formula: j=−b±b2−4ac2aj = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.\newlineSo, j=9±(−9)2−4⋅4⋅(−9)2⋅4j = \frac{9 \pm \sqrt{(-9)^2 - 4 \cdot 4 \cdot (-9)}}{2 \cdot 4}.
  2. Simplify Square Root: Simplify inside the square root: 81+144\sqrt{81 + 144}.81+144=225\sqrt{81 + 144} = \sqrt{225}.
  3. Calculate Possible Solutions: Now, calculate the two possible solutions for jj.j=9±2258j = \frac{9 \pm \sqrt{225}}{8}.j=9±158j = \frac{9 \pm 15}{8}.
  4. Find Values of extit{j}: Find the two values of extit{j}.\newline extit{j} = rac{99 + 1515}{88} or extit{j} = rac{99 - 1515}{88}.\newline extit{j} = rac{2424}{88} or extit{j} = rac{−6-6}{88}.
  5. Simplify Fractions: Simplify the fractions. j=3j = 3 or j=−34j = -\frac{3}{4}.
  6. Round Non-Integer Solution: Round the non-integer solution to the nearest hundredth if necessary.\newlinej=3j = 3 or j=−0.75j = -0.75.

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