Modded SAT Question Bank
by Abdullah Mallik dedicated to DPT SAT Batches and Someone Special | GitHub
We're excited to announce that we've launched a new and improved question bank with enhanced features and a more user-friendly interface.
To access the new question bank, please visit OnePrep.
We believe that this new platform will provide you with a better overall experience. Thank you for your continued support!
Test
Math
Domain
Advanced Math
Skill
Nonlinear equations in one variable and systems of equations in two variables
Difficulty
Medium
ID: 928498f3
Modded SAT Question Bank by Abdullah Mallik

6 x squared, plus 5 x, minus 7, equals 0

What are the solutions to the given equation?

  1. the fraction with numerator negative 5, plus or minus the square root of 25 plus 168, end root, and denominator 12

  2. the fraction with numerator negative 6, plus or minus the square root of 25 plus 168, end root, and denominator 12

  3. the fraction with numerator negative 5, plus or minus the square root of 36 minus 168, end root, and denominator 12

  4. the fraction with numerator negative 6, plus or minus the square root of 36 minus 168, end root, and denominator 12

Toggle Answer

Tip: Press CTRL/Command to toggle answer
Correct Answer: A
Rationale

Choice A is correct. The quadratic formula, x equals, the fraction with numerator negative b plus or minus, the square root of, b squared, minus 4 a, c, end root, and denominator 2 a, end fraction, can be used to find the solutions to an equation in the form a, x squared, plus b x, plus c, equals 0. In the given equation, a, equals 6, b equals 5, and c equals negative 7. Substituting these values into the quadratic formula gives the fraction with numerator negative 5 plus or minus, the square root of, 5 squared minus 4, times 6, times 7, end root, and denominator 2 times 6, end fraction, or the fraction with numerator negative 5 plus or minus, the square root of, 25 minus 168, end root, and denominator 12, end fraction.

Choice B is incorrect and may result from using the fraction with numerator negative a, plus or minus, the square root of, b squared, minus 4 a, c, end root, and denominator 2 a, end fraction as the quadratic formula. Choice C is incorrect and may result from usingthe fraction with numerator negative b plus or minus, the square root of, a, squared, plus 4 a, c, end root, and denominator 2 a, end fraction as the quadratic formula. Choice D is incorrect and may result from using the fraction with numerator negative a, plus or minus, the square root of, a, squared, plus 4 a, c, end root, and denominator 2 a, end fraction as the quadratic formula.

Question Difficulty: Medium
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49
40 / 49 Next