Question

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

Answer 1

Answer:

(2x+3)^2=25

=(5x)^2=25

because 5×5=25

Answer 2

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

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

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

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

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.