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th/algebra- 1 / solve-a-quadratic-equation-using-square-roots
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1 Solve a quadratic equation using square roots ERF
How many real solutions does the equation have?

f^(2)-52=-70
no real solution
one real solution
two real solutions
Submit

th/algebra- 11 / solve-a-quadratic-equation-using-square-roots\newlineEpic!\newlineSketchpad 55.11\newlineRenlearn\newlineMildred Junior High...\newlineM.H sites\newlinelibrary\newlineSlope Game\newlinePl..\newlineMy IXL\newlineLearning\newlineAssessment\newlineAnalyti\newline11 Solve a quadratic equation using square roots ERF\newlineHow many real solutions does the equation have?\newlinef252=70 f^{2}-52=-70 \newlineno real solution\newlineone real solution\newlinetwo real solutions\newlineSubmit

Full solution

Q. th/algebra- 11 / solve-a-quadratic-equation-using-square-roots\newlineEpic!\newlineSketchpad 55.11\newlineRenlearn\newlineMildred Junior High...\newlineM.H sites\newlinelibrary\newlineSlope Game\newlinePl..\newlineMy IXL\newlineLearning\newlineAssessment\newlineAnalyti\newline11 Solve a quadratic equation using square roots ERF\newlineHow many real solutions does the equation have?\newlinef252=70 f^{2}-52=-70 \newlineno real solution\newlineone real solution\newlinetwo real solutions\newlineSubmit
  1. Simplify Equation: Write down the given equation and simplify it by adding 5252 to both sides to isolate the f2f^2 term.\newlinef252=70f^2 - 52 = -70\newlinef2=70+52f^2 = -70 + 52\newlinef2=18f^2 = -18
  2. Identify Real Solutions: Observe that f2f^2 is equal to a negative number (18-18). Since the square of a real number cannot be negative, the equation f2=18f^2 = -18 does not have any real solutions.
  3. Conclude No Real Solutions: Conclude that the equation f252=70f^2 - 52 = -70 has no real solutions because the square of a real number cannot be negative.