Solve each by using the quadratic formula. 1 5x^2+21x=-18 2 81x^2=9 3 8x^2+12x=8 4 4x^2=-16x-16 5 10x^2=-7x+6 6 -3x^2=8x-12 7 2x^2=12x-18 8 -3x^2=12-12x 9 0.2x^2-1.5x+2.9=0 10 2x^2-5x=-20 State the discriminant for each equation. Then determine the number of real solutions of the equation. 11 0.2x^2-1.5x+2.9=0 12 2.25x^2-3x=-1 13 x^2-(4)/(5)x=3 14 0.5x^2-2x=-2 15 2x^2=(5)/(2)x+(3)/(2)

Let's solve each quadratic equation using the quadratic formula and then state the discriminant for each equation to determine the number of real solutions.### Solving Quadratic Equations Using the Quadratic FormulaThe quadratic formula is given by: where .#### 1. Rewrite the equation in standard form: Here, , , and .Calculate the discriminant: Since the discriminant is positive, there are two real solutions.#### 2. Rewrite the equation in standard form: Here, , , and .Calculate the discriminant: Since the discriminant is positive, there are two real solutions.#### 3. Rewrite the equation in standard form: Here, , , and .Calculate the discriminant: Since the discriminant is positive, there are two real solutions.#### 4. Rewrite the equation in standard form: Here, , , and .Calculate the discriminant: Since the discriminant is zero, there is one real solution.#### 5. Rewrite the equation in standard form: Here, , , and .Calculate the discriminant: Since the discriminant is positive, there are two real solutions.#### 6. Rewrite the equation in standard form: Here, , , and .Calculate the discriminant: Since the discriminant is positive, there are two real solutions.#### 7. Rewrite the equation in standard form: Here, , , and .Calculate the discriminant: Since the discriminant is zero, there is one real solution.#### 8. Rewrite the equation in standard form: Here, , , and .Calculate the discrimin