Question

Somebody please help. this is quadratics

Solve each equation by taking square roots.

`1.)6x^2=-90\\2.)b^2-4=-2\\3.)16x^2-7=-6\\4.)10p^2+9=239`

Answer 1

1)

`6x^2=-90\\x^2=-15\\√(x^2) =√(-15) \\x=i√(15) ,-i√(15)`

2)

`b^2-4=-2\\b^2=2\\√(b^2) =√(2) \\b=√(2) ,-√(2)`

3)

`16x^2-7=-6\\16x^2=1\\x^2=(1)/(16) \\√(x^2) =\sqrt{(1)/(16)} \\x=(1)/(4) ,-(1)/(4)`

4)

`10p^2+9=239\\10p^2=230\\p^2=23\\√(p^2) =√(23) \\p=√(23),-√(23)`