Question

Solve using the quadratic formula. 20. \( x^{2}+8 x+15=0 \) 21. \( x^{2}+5 x+3=0 \) 22. \( 3 x^{2}-3 x-4=0 \) 23. \( 4 x^{2}=2 x+7 \) Compute the discriminant. Then determine the number and type of solutions for the given equation. 24. \( x^{2}-4 x-5=0 \) 25. \( 2 x^{2}-11 x+3=0 \) 26. \( x^{2}-2 x+1=0 \) 27. \( x^{2}-3 x-7=0 \)

          Solve using the quadratic formula.
20. \( x^{2}+8 x+15=0 \)
21. \( x^{2}+5 x+3=0 \)
22. \( 3 x^{2}-3 x-4=0 \)
23. \( 4 x^{2}=2 x+7 \)

Compute the discriminant. Then determine the number and type of solutions for the given equation.
24. \( x^{2}-4 x-5=0 \)
25. \( 2 x^{2}-11 x+3=0 \)
26. \( x^{2}-2 x+1=0 \)
27. \( x^{2}-3 x-7=0 \)

Solve using the quadratic formula.
20. x^2+8 x+15=0
21. x^2+5 x+3=0
22. 3 x^2-3 x-4=0
23. 4 x^2=2 x+7

Compute the discriminant. Then determine the number and type of solutions for the given equation.
24. x^2-4 x-5=0
25. 2 x^2-11 x+3=0
26. x^2-2 x+1=0
27. x^2-3 x-7=0

Added by Darnell C.

Beginning and Intermediate Algebra

Margaret L. Lial, John Hornsby, Terry… 7th Edition

Chapter 11

Instant Answer

Solved by Expert Oswaldo Jiménez

Step 1

For the quadratic equation \( ax^2 + bx + c = 0 \), the quadratic formula is: \[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \] 20. \( x^2 + 8x + 15 = 0 \) - \( a = 1 \), \( b = 8 \), \( c = 15 \) - Discriminant: \( b^2 - 4ac = 8^2 - 4 \times 1 \times 15 = 64 - 60 Show more…

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Solve using the quadratic formula. 20. \( x^{2}+8 x+15=0 \) 21. \( x^{2}+5 x+3=0 \) 22. \( 3 x^{2}-3 x-4=0 \) 23. \( 4 x^{2}=2 x+7 \) Compute the discriminant. Then determine the number and type of solutions for the given equation. 24. \( x^{2}-4 x-5=0 \) 25. \( 2 x^{2}-11 x+3=0 \) 26. \( x^{2}-2 x+1=0 \) 27. \( x^{2}-3 x-7=0 \)