Math, asked by gurugavale14, 2 months ago

solve the following quadratic equation (2x+3)^2=25​

Answers

Answered by anjannagogula12351
22

Answer:

(2x+3)^2=25

=(5x)^2=25

because 5×5=25

Answered by ButterscotchSeven
2559

\bold{\huge{\fbox{\color{Maroon}{ANSWER}}}}

\mathsf{\implies \:  {(2x + 3)}^{2} = 25  } \\ \mathsf{we \: know \: that \: 25 =  {5}^{2}  \: ,so,  } \\ \mathsf{\implies \:  {(2x + 3)}^{2} =  {(5)}^{2}   } \\ \mathsf{ \: Now,   } \\ \mathsf{ \:  \implies2x + 3 =  +  - 5 } \\ \mathsf{ \:  \implies \: either  \:  \:  \:  \:  \: 2x + 3 = 5 \:  \:  \:  \:  \:  \: or \:  \:  \:  \:  \:  \: 2x + 3 =  - 5 } \\ \mathsf{ \:  \implies \: either \:  \:  \:  \:  \: 2x = 2 \:  \:  \:  \:  \: or \:  \:  \:  \:  \: 2x =  - 8 } \\ \mathsf{ \:  \implies \: either \:  \:  \:  \:  \: x = 1 \:  \:  \:  \:  \: or \:  \:  \:  \:  \: x =  - 4 }

\bold{Therefore, \:  the \:  value(s)  \: of \:  x  \: are \:  1 \:  and  \: -4}

\bold{Q.) What  \: is  \: Quadratic  \: Equation?}

ANS:-

  • A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
  • One absolute rule is that the first constant "a" cannot be a zero.
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